Search a number
-
+
102201002021001 = 31328313129636257
BaseRepresentation
bin10111001111001110000110…
…011010111101000010001001
3111101212022122112221000011010
4113033032012122331002021
5101343430123004133001
61001210254150354133
730345531050503332
oct2717160632750211
9441768575830133
10102201002021001
112a6232242a2394
12b5672a495b949
134504689493500
141b347aa899289
15bc3738ba18d6
hex5cf3866bd089

102201002021001 has 96 divisors (see below), whose sum is σ = 150549062856192. Its totient is φ = 61630202250240.

The previous prime is 102201002020993. The next prime is 102201002021051. The reversal of 102201002021001 is 100120200102201.

102201002021001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 102201002021001 - 23 = 102201002020993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102201002021051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16333863265 + ... + 16333869521.

It is an arithmetic number, because the mean of its divisors is an integer number (1568219404752).

Almost surely, 2102201002021001 is an apocalyptic number.

It is an amenable number.

102201002021001 is a deficient number, since it is larger than the sum of its proper divisors (48348060835191).

102201002021001 is a wasteful number, since it uses less digits than its factorization.

102201002021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9463 (or 9450 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102201002021001 its reverse (100120200102201), we get a palindrome (202321202123202).

The spelling of 102201002021001 in words is "one hundred two trillion, two hundred one billion, two million, twenty-one thousand, one".

Divisors: 1 3 13 39 83 131 169 249 393 507 1079 1703 2963 3237 5109 6257 8889 10873 14027 18771 22139 32619 38519 42081 66417 81341 115557 141349 244023 245929 388153 424047 500747 519331 737787 819667 1057433 1164459 1502241 1557993 1837537 2459001 3172299 3197077 5045989 5512611 6751303 9591231 10655671 15137967 18539491 20253909 31967013 32216699 41562001 55618473 65597857 68032361 87766939 96650097 124686003 138523723 196793571 204097083 241013383 263300817 415571169 418817087 723040149 884420693 1256451261 1538777753 2428673321 2653262079 3133173979 4616333259 5444622131 7286019963 9399521937 11497469009 16333866393 20004110789 31572753173 34492407027 60012332367 94718259519 201579885643 260053440257 410445791249 604739656929 780160320771 1231337373747 2620538513359 7861615540077 34067000673667 102201002021001