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103020201120 = 2535375800687
BaseRepresentation
bin101111111110001111…
…0111000010010100000
3100211220122200110022110
41133330132320102200
53141441132413440
6115154332235320
710304636155404
oct1377436702240
9324818613273
10103020201120
113a766243991
1217b7130bb40
13993a447ab5
144db4205104
152a2e46e080
hex17fc7b84a0

103020201120 has 96 divisors (see below), whose sum is σ = 333284329728. Its totient is φ = 26729561088.

The previous prime is 103020201107. The next prime is 103020201121. The reversal of 103020201120 is 21102020301.

103020201120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×1030202011204 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 103020201096 and 103020201105.

It is not an unprimeable number, because it can be changed into a prime (103020201121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2882584 + ... + 2918103.

It is an arithmetic number, because the mean of its divisors is an integer number (3471711768).

Almost surely, 2103020201120 is an apocalyptic number.

103020201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103020201120 is an abundant number, since it is smaller than the sum of its proper divisors (230264128608).

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

103020201120 is a wasteful number, since it uses less digits than its factorization.

103020201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5800742 (or 5800734 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 103020201120 its reverse (21102020301), we get a palindrome (124122221421).

The spelling of 103020201120 in words is "one hundred three billion, twenty million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 5800687 11601374 17402061 23202748 29003435 34804122 46405496 58006870 69608244 87010305 92810992 116013740 139216488 174020610 185621984 214625419 232027480 278432976 348041220 429250838 464054960 556865952 643876257 696082440 858501676 928109920 1073127095 1287752514 1392164880 1717003352 2146254190 2575505028 2784329760 3219381285 3434006704 4292508380 5151010056 6438762570 6868013408 8585016760 10302020112 12877525140 17170033520 20604040224 25755050280 34340067040 51510100560 103020201120