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23202121133100 = 22352713849894547
BaseRepresentation
bin1010100011010001010100…
…01100000010110000101100
310001011002201201022012012110
411101220222030002300230
511020120421002224400
6121202523551004020
74613204122405350
oct521505214026054
9101132651265173
1023202121133100
117435a67557678
122728887509610
13cc3c4870ca40
145a2dbac23460
152a3818d8ce50
hex151a2a302c2c

23202121133100 has 144 divisors (see below), whose sum is σ = 82623348378368. Its totient is φ = 4895392584960.

The previous prime is 23202121133017. The next prime is 23202121133111. The reversal of 23202121133100 is 133112120232.

It is a super-2 number, since 2×232021211331002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 424919974 + ... + 424974573.

Almost surely, 223202121133100 is an apocalyptic number.

23202121133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23202121133100 is an abundant number, since it is smaller than the sum of its proper divisors (59421227245268).

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

23202121133100 is a wasteful number, since it uses less digits than its factorization.

23202121133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849894584 (or 849894577 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 23202121133100 its reverse (133112120232), we get a palindrome (23335233253332).

The spelling of 23202121133100 in words is "twenty-three trillion, two hundred two billion, one hundred twenty-one million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4550 5460 6825 9100 13650 27300 849894547 1699789094 2549683641 3399578188 4249472735 5099367282 5949261829 8498945470 10198734564 11048629111 11898523658 12748418205 16997890940 17847785487 21247363675 22097258222 23797047316 25496836410 29746309145 33145887333 35695570974 42494727350 44194516444 50993672820 55243145555 59492618290 63742091025 66291774666 71391141948 77340403777 84989454700 89238927435 110486291110 118985236580 127484182050 132583549332 148731545725 154680807554 165729436665 178477854870 220972582220 232021211331 254968364100 276215727775 297463091450 309361615108 331458873330 356955709740 386702018885 446194637175 464042422662 552431455550 594926182900 662917746660 773404037770 828647183325 892389274350 928084845324 1104862911100 1160106056655 1546808075540 1657294366650 1784778548700 1933510094425 2320212113310 3314588733300 3867020188850 4640424226620 5800530283275 7734040377700 11601060566550 23202121133100