Search a number
-
+
102122022210112 = 2629113670372643
BaseRepresentation
bin10111001110000100100010…
…110110111000101001000000
3111101120202210022110220112001
4113032010202312320221000
5101341131400141210422
61001110113115113344
730340033624260112
oct2716044266705100
9441522708426461
10102122022210112
112a5a2785249503
12b553b22742854
1344ca0b08170b8
141b30a374053b2
15bc1665051227
hex5ce122db8a40

102122022210112 has 112 divisors (see below), whose sum is σ = 211525915011840. Its totient is φ = 48856038432768.

The previous prime is 102122022210107. The next prime is 102122022210149. The reversal of 102122022210112 is 211012220221201.

It is a self number, because there is not a number n which added to its sum of digits gives 102122022210112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1405770463 + ... + 1405843105.

Almost surely, 2102122022210112 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 102122022210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105762957505920).

102122022210112 is an abundant number, since it is smaller than the sum of its proper divisors (109403892801728).

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

102122022210112 is a wasteful number, since it uses less digits than its factorization.

102122022210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79500 (or 79490 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102122022210112 its reverse (211012220221201), we get a palindrome (313134242431313).

The spelling of 102122022210112 in words is "one hundred two trillion, one hundred twenty-two billion, twenty-two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 113 116 226 232 452 464 904 928 1808 1856 3277 3616 6554 6703 7232 13108 13406 26216 26812 52432 53624 72643 104864 107248 145286 194387 209728 214496 290572 388774 428992 581144 757439 777548 1162288 1514878 1555096 2106647 2324576 3029756 3110192 4213294 4649152 6059512 6220384 8208659 8426588 12119024 12440768 16417318 16853176 21965731 24238048 32834636 33706352 43931462 48476096 65669272 67412704 87862924 131338544 134825408 175725848 238051111 262677088 351451696 476102222 486926029 525354176 702903392 952204444 973852058 1405806784 1904408888 1947704116 3808817776 3895408232 7617635552 7790816464 14120854841 15235271104 15581632928 28241709682 31163265856 55022641277 56483419364 110045282554 112966838728 220090565108 225933677456 440181130216 451867354912 880362260432 903734709824 1595656597033 1760724520864 3191313194066 3521449041728 6382626388132 12765252776264 25530505552528 51061011105056 102122022210112