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13212101233100 = 225271111931438271
BaseRepresentation
bin1100000001000010111010…
…0110011100100111001100
31201210001202001101112211102
43000100232212130213030
53212431340403424400
644033315554042232
72532354120341360
oct300205646344714
951701661345742
1013212101233100
114234247786490
121594715b79378
1374ab850c4c43
1433967d3572a0
1517da251c69d5
hexc042e99c9cc

13212101233100 has 144 divisors (see below), whose sum is σ = 35774726270976. Its totient is φ = 4114602816000.

The previous prime is 13212101233021. The next prime is 13212101233103. The reversal of 13212101233100 is 133210121231.

It is a happy number.

It is a super-2 number, since 2×132121012331002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13212101233103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8466965 + ... + 9905235.

It is an arithmetic number, because the mean of its divisors is an integer number (248435599104).

Almost surely, 213212101233100 is an apocalyptic number.

13212101233100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13212101233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17887363135488).

13212101233100 is an abundant number, since it is smaller than the sum of its proper divisors (22562625037876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13212101233100 is a wasteful number, since it uses less digits than its factorization.

13212101233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439496 (or 1439489 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13212101233100 its reverse (133210121231), we get a palindrome (13345311354331).

The spelling of 13212101233100 in words is "thirteen trillion, two hundred twelve billion, one hundred one million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1193 1540 1925 2386 3850 4772 5965 7700 8351 11930 13123 16702 23860 26246 29825 33404 41755 52492 59650 65615 83510 91861 119300 131230 167020 183722 208775 262460 328075 367444 417550 459305 656150 835100 918610 1312300 1438271 1837220 2296525 2876542 4593050 5753084 7191355 9186100 10067897 14382710 15820981 20135794 28765420 31641962 35956775 40271588 50339485 63283924 71913550 79104905 100678970 110746867 143827100 158209810 201357940 221493734 251697425 316419620 395524525 442987468 503394850 553734335 791049050 1006789700 1107468670 1582098100 1715857303 2214937340 2768671675 3431714606 5537343350 6863429212 8579286515 11074686700 12011001121 17158573030 18874430333 24022002242 34317146060 37748860666 42896432575 48044004484 60055005605 75497721332 85792865150 94372151665 120110011210 132121012331 171585730300 188744303330 240220022420 264242024662 300275028025 377488606660 471860758325 528484049324 600550056050 660605061655 943721516650 1201100112100 1321210123310 1887443033300 2642420246620 3303025308275 6606050616550 13212101233100