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212011331202 = 23511210133559
BaseRepresentation
bin1100010101110011011…
…1000010111010000010
3202021020102201112100000
43011130313002322002
511433144400044302
6241221402340430
721213560403216
oct3053467027202
9667212645300
10212011331202
1181a05962100
123510a1ba716
1316cb9920448
14a39340c946
1557acbd231c
hex315cdc2e82

212011331202 has 144 divisors (see below), whose sum is σ = 524278722240. Its totient is φ = 64164402720.

The previous prime is 212011331197. The next prime is 212011331263. The reversal of 212011331202 is 202133110212.

212011331202 is a `hidden beast` number, since 2 + 120 + 11 + 331 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59568699 + ... + 59572257.

It is an arithmetic number, because the mean of its divisors is an integer number (3640824460).

Almost surely, 2212011331202 is an apocalyptic number.

212011331202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212011331202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262139361120).

212011331202 is an abundant number, since it is smaller than the sum of its proper divisors (312267391038).

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

212011331202 is a wasteful number, since it uses less digits than its factorization.

212011331202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4611 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212011331202 its reverse (202133110212), we get a palindrome (414144441414).

The spelling of 212011331202 in words is "two hundred twelve billion, eleven million, three hundred thirty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 243 297 363 486 594 726 891 1013 1089 1782 2026 2178 2673 3039 3267 3559 5346 6078 6534 7118 9117 9801 10677 11143 18234 19602 21354 22286 27351 29403 32031 33429 39149 54702 58806 64062 66858 78298 82053 96093 100287 117447 122573 164106 192186 200574 234894 245146 246159 288279 300861 352341 367719 430639 492318 576558 601722 704682 735438 861278 864837 902583 1057023 1103157 1291917 1729674 1805166 2114046 2206314 2583834 2707749 3171069 3309471 3605267 3875751 5415498 6342138 6618942 7210534 7751502 9513207 9928413 10815801 11627253 19026414 19856826 21631602 23254506 29785239 32447403 34881759 39657937 59570478 64894806 69763518 79315874 97342209 104645277 118973811 194684418 209290554 237947622 292026627 356921433 436237307 584053254 713842866 872474614 876079881 1070764299 1308711921 1752159762 2141528598 2617423842 3212292897 3926135763 6424585794 7852271526 9636878691 11778407289 19273757382 23556814578 35335221867 70670443734 106005665601 212011331202