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201021021001112 = 23132316971688031
BaseRepresentation
bin101101101101001111011010…
…100011001001010110011000
3222100202102101120202222112012
4231231033122203021112120
5202322012022334013422
61551311440541005052
760225201203530214
oct5555173243112630
9870672346688465
10201021021001112
1159062599825534
121a667279253788
13882227c613500
14378d67dba9944
1518390410004e2
hexb6d3da8c9598

201021021001112 has 96 divisors (see below), whose sum is σ = 421364887695360. Its totient is φ = 89773053552000.

The previous prime is 201021021001093. The next prime is 201021021001127. The reversal of 201021021001112 is 211100120120102.

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, 291824537 + ... + 292512567.

It is an arithmetic number, because the mean of its divisors is an integer number (4389217580160).

Almost surely, 2201021021001112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201021021001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210682443847680).

201021021001112 is an abundant number, since it is smaller than the sum of its proper divisors (220343866694248).

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

201021021001112 is a wasteful number, since it uses less digits than its factorization.

201021021001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695065 (or 695048 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201021021001112 its reverse (211100120120102), we get a palindrome (412121141121214).

The spelling of 201021021001112 in words is "two hundred one trillion, twenty-one billion, twenty-one million, one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 169 248 338 403 676 806 1352 1612 3224 5239 6971 10478 13942 20956 27884 41912 55768 90623 181246 216101 362492 432202 688031 724984 864404 1178099 1376062 1728808 2356198 2752124 2809313 4712396 5504248 5618626 8944403 9424792 11237252 17888806 21328961 22474504 35777612 36521069 42657922 71555224 73042138 85315844 116277239 146084276 170631688 232554478 277276493 292168552 465108956 554552986 930217912 1109105972 2218211944 3604594409 4796264101 7209188818 9592528202 14418377636 19185056404 28836755272 38370112808 62351433313 124702866626 148684187131 249405733252 297368374262 498811466504 594736748524 810568633069 1189473497048 1621137266138 1932894432703 3242274532276 3865788865406 6484549064552 7731577730812 15463155461624 25127627625139 50255255250278 100510510500556 201021021001112