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103102213020102 = 23317751253958901
BaseRepresentation
bin10111011100010101011010…
…110010000101100111000110
3111112001110211111102012212000
4113130111122302011213012
5102003211313013120402
61003140300334010130
730500613644552442
oct2734253262054706
9445043744365760
10103102213020102
112a94044842078a
12b691a96646946
13456b65cac531a
141b66260a35822
15bdbdd268cc1c
hex5dc55ac859c6

103102213020102 has 128 divisors (see below), whose sum is σ = 243016269465600. Its totient is φ = 32289451200000.

The previous prime is 103102213020049. The next prime is 103102213020133. The reversal of 103102213020102 is 201020312201301.

103102213020102 is a `hidden beast` number, since 1 + 0 + 310 + 22 + 130 + 201 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1750402852 + ... + 1750461752.

It is an arithmetic number, because the mean of its divisors is an integer number (1898564605200).

Almost surely, 2103102213020102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103102213020102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121508134732800).

103102213020102 is an abundant number, since it is smaller than the sum of its proper divisors (139914056445498).

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

103102213020102 is a wasteful number, since it uses less digits than its factorization.

103102213020102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62219 (or 62213 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103102213020102 its reverse (201020312201301), we get a palindrome (304122525221403).

The spelling of 103102213020102 in words is "one hundred three trillion, one hundred two billion, two hundred thirteen million, twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 751 918 1502 2253 2539 4506 5078 6759 7617 12767 13518 15234 20277 22851 25534 38301 40554 43163 45702 58901 68553 76602 86326 114903 117802 129489 137106 176703 229806 258978 344709 353406 388467 530109 689418 776934 1001317 1060218 1165401 1590327 1906789 2002634 2330802 3003951 3180654 3813578 5720367 6007902 9011853 11440734 17161101 18023706 27035559 32415413 34322202 44234651 51483303 54071118 64830826 88469302 97246239 102966606 132703953 149549639 194492478 265407906 291738717 299099278 398111859 448648917 583477434 751989067 796223718 875216151 897297834 1194335577 1345946751 1503978134 1750432302 2255967201 2388671154 2542343863 2691893502 4037840253 4511934402 5084687726 6767901603 7627031589 8075680506 13535803206 15254063178 20303704809 22881094767 40607409618 45762189534 68643284301 112311778889 137286568602 224623557778 336935336667 673870673334 1010806010001 1909300241113 2021612020002 3032418030003 3818600482226 5727900723339 6064836060006 11455801446678 17183702170017 34367404340034 51551106510051 103102213020102