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211330090188 = 223276174318503
BaseRepresentation
bin1100010011010001000…
…0010100010011001100
3202012110221211220100100
43010310100110103030
511430301000341223
6241030025131100
721160646061630
oct3046420242314
9665427756310
10211330090188
11816963656a8
1234b5a029a90
1316c0b74b659
14a32ab58dc0
15576ceb8043
hex31344144cc

211330090188 has 144 divisors (see below), whose sum is σ = 621386228736. Its totient is φ = 59307050880.

The previous prime is 211330090177. The next prime is 211330090189. The reversal of 211330090188 is 881090033112.

211330090188 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (211330090189) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11412145 + ... + 11430647.

It is an arithmetic number, because the mean of its divisors is an integer number (4315182144).

Almost surely, 2211330090188 is an apocalyptic number.

211330090188 is a gapful number since it is divisible by the number (28) 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 211330090188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310693114368).

211330090188 is an abundant number, since it is smaller than the sum of its proper divisors (410056138548).

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

211330090188 is a wasteful number, since it uses less digits than its factorization.

211330090188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19324 (or 19319 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 211330090188 in words is "two hundred eleven billion, three hundred thirty million, ninety thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 732 743 854 1098 1281 1486 1708 2196 2229 2562 2972 3843 4458 5124 5201 6687 7686 8916 10402 13374 15372 15603 18503 20804 26748 31206 37006 45323 46809 55509 62412 74012 90646 93618 111018 129521 135969 166527 181292 187236 222036 259042 271938 317261 333054 388563 407907 518084 543876 634522 666108 777126 815814 951783 1128683 1165689 1269044 1554252 1631628 1903566 2257366 2331378 2855349 3386049 3807132 4514732 4662756 5710698 6772098 7900781 10158147 11421396 13544196 13747729 15801562 20316294 23702343 27495458 31603124 40632588 41243187 47404686 54990916 71107029 82486374 94809372 96234103 123729561 142214058 164972748 192468206 247459122 284428116 288702309 384936412 494918244 577404618 838611469 866106927 1154809236 1677222938 1732213854 2515834407 3354445876 3464427708 5031668814 5870280283 7547503221 10063337628 11740560566 15095006442 17610840849 23481121132 30190012884 35221681698 52832522547 70443363396 105665045094 211330090188