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102211210021200 = 24352712168001193
BaseRepresentation
bin10111001111010111100110…
…110111011000100101010000
3111101220021222222002010220120
4113033113212313120211100
5101344112024231134300
61001215103123310240
730346342032203010
oct2717274667304520
9441807888063816
10102211210021200
112a627592463a95
12b56927351b380
1345056252a9507
141b350984c3c40
15bc3b34e493a0
hex5cf5e6dd8950

102211210021200 has 120 divisors (see below), whose sum is σ = 374190372717888. Its totient is φ = 23362562288640.

The previous prime is 102211210021199. The next prime is 102211210021213. The reversal of 102211210021200 is 2120012112201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102211210021200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6083992197 + ... + 6084008996.

Almost surely, 2102211210021200 is an apocalyptic number.

102211210021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211210021200 is an abundant number, since it is smaller than the sum of its proper divisors (271979162696688).

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

102211210021200 is a wasteful number, since it uses less digits than its factorization.

102211210021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12168001221 (or 12168001210 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102211210021200 its reverse (2120012112201), we get a palindrome (104331222133401).

The spelling of 102211210021200 in words is "one hundred two trillion, two hundred eleven billion, two hundred ten million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 12168001193 24336002386 36504003579 48672004772 60840005965 73008007158 85176008351 97344009544 121680011930 146016014316 170352016702 182520017895 194688019088 243360023860 255528025053 292032028632 304200029825 340704033404 365040035790 425880041755 486720047720 511056050106 584064057264 608400059650 681408066808 730080071580 851760083510 912600089475 973440095440 1022112100212 1216800119300 1277640125265 1362816133616 1460160143160 1703520167020 1825200178950 2044224200424 2129400208775 2433600238600 2555280250530 2920320286320 3407040334040 3650400357900 4088448400848 4258800417550 4867200477200 5110560501060 6388200626325 6814080668080 7300800715800 8517600835100 10221121002120 12776401252650 14601601431600 17035201670200 20442242004240 25552802505300 34070403340400 51105605010600 102211210021200