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102010000131 = 33131722321901
BaseRepresentation
bin101111100000001000…
…1010001001100000011
3100202022020210221002000
41133000101101030003
53132404030001011
6114510204155043
710240621460124
oct1370021211403
9322266727060
10102010000131
113a297a92a36
121792ab38a83
139809078730
144d19da004b
1529c0925356
hex17c0451303

102010000131 has 144 divisors (see below), whose sum is σ = 180826487520. Its totient is φ = 56484172800.

The previous prime is 102010000111. The next prime is 102010000133. The reversal of 102010000131 is 131000010201.

It is not a de Polignac number, because 102010000131 - 210 = 102009999107 is a prime.

It is a super-2 number, since 2×1020100001312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102010000133) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53660281 + ... + 53662181.

Almost surely, 2102010000131 is an apocalyptic number.

102010000131 is a deficient number, since it is larger than the sum of its proper divisors (78816487389).

102010000131 is a wasteful number, since it uses less digits than its factorization.

102010000131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 102010000131 its reverse (131000010201), we get a palindrome (233010010332).

The spelling of 102010000131 in words is "one hundred two billion, ten million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 13 17 23 27 39 51 69 117 153 207 221 289 299 351 391 459 529 621 663 867 897 1173 1587 1901 1989 2601 2691 3519 3757 4761 5083 5703 5967 6647 6877 7803 8073 8993 10557 11271 14283 15249 17109 19941 20631 24713 26979 32317 33813 43723 45747 51327 59823 61893 74139 80937 86411 96951 101439 116909 131169 137241 152881 179469 185679 222417 242811 259233 290853 350727 393507 420121 458643 549389 568399 667251 743291 777699 872559 1005629 1052181 1180521 1260363 1375929 1648167 1705197 1987453 2229873 2333097 3016887 3156543 3781089 4127787 4944501 5115591 5962359 6689619 7142057 9050661 9662783 11343267 12635947 13073177 14833503 15346773 17095693 17887077 20068857 21426171 27151983 28988349 37907841 39219531 51287079 53661231 64278513 86965047 113723523 117658593 153861237 164267311 192835539 222244009 260895141 290626781 341170569 352975779 461583711 492801933 666732027 871880343 1478405799 2000196081 2615641029 3778148153 4435217397 6000588243 7846923087 11334444459 34003333377 102010000131