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1212202010100 = 2235261101655847
BaseRepresentation
bin10001101000111100110…
…111101100010111110100
311021212220102221110002110
4101220330313230113310
5124330042203310400
62324513344011020
7153402332035344
oct21507467542764
94255812843073
101212202010100
11428101483964
12176b24000a70
138a40555b723
1442956cccd24
15217eb060e50
hex11a3cdec5f4

1212202010100 has 144 divisors (see below), whose sum is σ = 3600101828736. Its totient is φ = 314806080000.

The previous prime is 1212202010069. The next prime is 1212202010101. The reversal of 1212202010100 is 10102022121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212202010101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1520377 + ... + 2176223.

It is an arithmetic number, because the mean of its divisors is an integer number (25000707144).

Almost surely, 21212202010100 is an apocalyptic number.

1212202010100 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 1212202010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800050914368).

1212202010100 is an abundant number, since it is smaller than the sum of its proper divisors (2387899818636).

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

1212202010100 is a wasteful number, since it uses less digits than its factorization.

1212202010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656026 (or 656019 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1212202010100 its reverse (10102022121), we get a palindrome (1222304032221).

The spelling of 1212202010100 in words is "one trillion, two hundred twelve billion, two hundred two million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 101 122 150 183 202 244 300 303 305 366 404 505 606 610 732 915 1010 1212 1220 1515 1525 1830 2020 2525 3030 3050 3660 4575 5050 6060 6100 6161 7575 9150 10100 12322 15150 18300 18483 24644 30300 30805 36966 61610 73932 92415 123220 154025 184830 308050 369660 462075 616100 655847 924150 1311694 1848300 1967541 2623388 3279235 3935082 6558470 7870164 9837705 13116940 16396175 19675410 32792350 39350820 40006667 49188525 65584700 66240547 80013334 98377050 120020001 132481094 160026668 196754100 198721641 200033335 240040002 264962188 331202735 397443282 400066670 480080004 600100005 662405470 794886564 800133340 993608205 1000166675 1200200010 1324810940 1656013675 1987216410 2000333350 2400400020 3000500025 3312027350 3974432820 4000666700 4040673367 4968041025 6001000050 6624054700 8081346734 9936082050 12002000100 12122020101 16162693468 19872164100 20203366835 24244040202 40406733670 48488080404 60610100505 80813467340 101016834175 121220201010 202033668350 242440402020 303050502525 404067336700 606101005050 1212202010100