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102320201033010 = 23253797316771001
BaseRepresentation
bin10111010000111101000111…
…001111000110010100110010
3111102021201022201220012200200
4113100331013033012110302
5101402403232431024020
61001341130151100030
730360250652415642
oct2720750717062462
9442251281805620
10102320201033010
112a669832001364
12b586410371616
1345129a474008c
141b3a47769a522
15bc68b3687590
hex5d0f473c6532

102320201033010 has 96 divisors (see below), whose sum is σ = 276039319478832. Its totient is φ = 26274253824000.

The previous prime is 102320201032949. The next prime is 102320201033033. The reversal of 102320201033010 is 10330102023201.

102320201033010 is a `hidden beast` number, since 1 + 0 + 2 + 320 + 2 + 0 + 1 + 0 + 330 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 39743731973169 + 62576469059841 = 6304263^2 + 7910529^2 .

It is a super-2 number, since 2×1023202010330102 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158062491 + ... + 158708510.

Almost surely, 2102320201033010 is an apocalyptic number.

102320201033010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102320201033010 is an abundant number, since it is smaller than the sum of its proper divisors (173719118445822).

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

102320201033010 is a wasteful number, since it uses less digits than its factorization.

102320201033010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316771148 (or 316771145 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102320201033010 its reverse (10330102023201), we get a palindrome (112650303056211).

The spelling of 102320201033010 in words is "one hundred two trillion, three hundred twenty billion, two hundred one million, thirty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 97 111 185 194 222 291 333 370 485 555 582 666 873 970 1110 1455 1665 1746 2910 3330 3589 4365 7178 8730 10767 17945 21534 32301 35890 53835 64602 107670 161505 323010 316771001 633542002 950313003 1583855005 1900626006 2850939009 3167710010 4751565015 5701878018 9503130030 11720527037 14254695045 23441054074 28509390090 30726787097 35161581111 58602635185 61453574194 70323162222 92180361291 105484743333 117205270370 153633935485 175807905555 184360722582 210969486666 276541083873 307267870970 351615811110 460901806455 527423716665 553082167746 921803612910 1054847433330 1136891122589 1382705419365 2273782245178 2765410838730 3410673367767 5684455612945 6821346735534 10232020103301 11368911225890 17053366838835 20464040206602 34106733677670 51160100516505 102320201033010