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102211133612 = 227192297691091
BaseRepresentation
bin101111100110001000…
…0100010000010101100
3100202211021021120100012
41133030100202002230
53133312022233422
6114542151152352
710245613205120
oct1371420420254
9322737246305
10102211133612
113a39057a555
12179863756b8
13983b93b923
144d38999580
1529d34054e2
hex17cc4220ac

102211133612 has 96 divisors (see below), whose sum is σ = 216600384000. Its totient is φ = 41226485760.

The previous prime is 102211133611. The next prime is 102211133663. The reversal of 102211133612 is 216331112201.

It is not an unprimeable number, because it can be changed into a prime (102211133611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93685187 + ... + 93686277.

It is an arithmetic number, because the mean of its divisors is an integer number (2256254000).

Almost surely, 2102211133612 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 102211133612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108300192000).

102211133612 is an abundant number, since it is smaller than the sum of its proper divisors (114389250388).

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

102211133612 is a wasteful number, since it uses less digits than its factorization.

102211133612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 102211133612 its reverse (216331112201), we get a palindrome (318542245813).

The spelling of 102211133612 in words is "one hundred two billion, two hundred eleven million, one hundred thirty-three thousand, six hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 76 133 229 266 458 532 769 916 1091 1538 1603 2182 3076 3206 4351 4364 5383 6412 7637 8702 10766 14611 15274 17404 20729 21532 29222 30457 30548 41458 58444 60914 82916 102277 121828 145103 176101 204554 249839 290206 352202 409108 499678 580412 704404 838979 999356 1232707 1677958 1748873 2465414 3345919 3355916 3497746 4746941 4930828 5872853 6691838 6995492 9493882 11745706 13383676 15940601 18987764 23421433 23491412 31881202 33228587 46842866 63762404 66457174 93685732 111584207 132914348 192126191 223168414 384252382 446336828 768504764 1344883337 2689766674 3650397629 5379533348 7300795258 14601590516 25552783403 51105566806 102211133612