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103013020110 = 235711133430337
BaseRepresentation
bin101111111110000001…
…1011111000111001110
3100211220011011121211010
41133330003133013032
53141432313120420
6115153514310050
710304521136460
oct1377403370716
9324804147733
10103013020110
113a762189770
1217b6aa28326
139938b02390
144db3296130
152a2da014e0
hex17fc0df1ce

103013020110 has 128 divisors (see below), whose sum is σ = 331946947584. Its totient is φ = 19758735360.

The previous prime is 103013020109. The next prime is 103013020139. The reversal of 103013020110 is 11020310301.

It is a super-2 number, since 2×1030130201102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1685139 + ... + 1745198.

It is an arithmetic number, because the mean of its divisors is an integer number (2593335528).

Almost surely, 2103013020110 is an apocalyptic number.

103013020110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103013020110 is an abundant number, since it is smaller than the sum of its proper divisors (228933927474).

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

103013020110 is a wasteful number, since it uses less digits than its factorization.

103013020110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430378.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103013020110 its reverse (11020310301), we get a palindrome (114033330411).

Subtracting from 103013020110 its reverse (11020310301), we obtain a square (91992709809 = 3033032).

The spelling of 103013020110 in words is "one hundred three billion, thirteen million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 4290 5005 6006 10010 15015 30030 3430337 6860674 10291011 17151685 20582022 24012359 34303370 37733707 44594381 48024718 51455055 72037077 75467414 89188762 102910110 113201121 120061795 133783143 144074154 188668535 222971905 226402242 240123590 264135949 267566286 312160667 360185385 377337070 445943810 490538191 528271898 566005605 624321334 668915715 720370770 792407847 936482001 981076382 1132011210 1320679745 1337831430 1471614573 1560803335 1584815694 1872964002 2452690955 2641359490 2943229146 3121606670 3433767337 3962039235 4682410005 4905381910 6867534674 7358072865 7924078470 9364820010 10301302011 14716145730 17168836685 20602604022 34337673370 51506510055 103013020110