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10101022113 = 3713314143677
BaseRepresentation
bin10010110100001000…
…10101110110100001
3222001221212002102010
421122010111312201
5131141330201423
64350151543133
7505212162030
oct113204256641
928057762363
1010101022113
114313844466
121b5a98aaa9
13c4c8cb280
146bb73c717
153e1bb5693
hex25a115da1

10101022113 has 128 divisors (see below), whose sum is σ = 17962205184. Its totient is φ = 4906137600.

The previous prime is 10101022111. The next prime is 10101022123. The reversal of 10101022113 is 31122010101.

It is not a de Polignac number, because 10101022113 - 21 = 10101022111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10101022111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14919931 + ... + 14920607.

It is an arithmetic number, because the mean of its divisors is an integer number (140329728).

Almost surely, 210101022113 is an apocalyptic number.

10101022113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10101022113 is a deficient number, since it is larger than the sum of its proper divisors (7861183071).

10101022113 is a wasteful number, since it uses less digits than its factorization.

10101022113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10101022113 its reverse (31122010101), we get a palindrome (41223032214).

The spelling of 10101022113 in words is "ten billion, one hundred one million, twenty-two thousand, one hundred thirteen".

Divisors: 1 3 7 13 21 31 39 41 43 91 93 123 129 217 273 287 301 403 533 559 651 677 861 903 1209 1271 1333 1599 1677 1763 2031 2821 3731 3813 3913 3999 4739 5289 8463 8801 8897 9331 11193 11739 12341 14217 16523 17329 20987 22919 26403 26691 27757 27993 29111 37023 49569 51987 54653 61607 62961 68757 83271 87333 115661 121303 146909 160433 163959 184821 194299 203777 272831 346983 360841 363909 378443 382571 440727 481299 582897 611331 710489 818493 860467 902441 1082523 1135329 1147713 1193551 1909817 2131467 2525887 2581401 2649101 2707323 3580653 4973423 5729451 6023269 6317087 7577661 7947303 8354857 11186071 11731733 14920269 15516163 18069807 18951261 25064571 33558213 35195199 37000081 46548489 78302497 82122131 108613141 111000243 234907491 246366393 259000567 325839423 481001053 777001701 1443003159 3367007371 10101022113