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103042312220 = 225291572814027
BaseRepresentation
bin101111111110111001…
…1001110100000011100
3100211222012021211001002
41133331303032200130
53142012312442340
6115200442205432
710305325126301
oct1377563164034
9324865254032
10103042312220
113a777776321
1217b787b3878
139941bba0a3
144db711d0a8
152a3138a715
hex17fdcce81c

103042312220 has 96 divisors (see below), whose sum is σ = 226134175680. Its totient is φ = 39391672320.

The previous prime is 103042312171. The next prime is 103042312223. The reversal of 103042312220 is 22213240301.

103042312220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030423122202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103042312192 and 103042312201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103042312223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25585847 + ... + 25589873.

It is an arithmetic number, because the mean of its divisors is an integer number (2355564330).

Almost surely, 2103042312220 is an apocalyptic number.

103042312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103042312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113067087840).

103042312220 is an abundant number, since it is smaller than the sum of its proper divisors (123091863460).

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

103042312220 is a wasteful number, since it uses less digits than its factorization.

103042312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4503 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 103042312220 its reverse (22213240301), we get a palindrome (125255552521).

The spelling of 103042312220 in words is "one hundred three billion, forty-two million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 157 281 290 314 562 580 628 785 1124 1405 1570 2810 3140 4027 4553 5620 8054 8149 9106 16108 16298 18212 20135 22765 32596 40270 40745 44117 45530 80540 81490 88234 91060 116783 162980 176468 220585 233566 441170 467132 583915 632239 882340 1131587 1167830 1264478 1279393 2263174 2335660 2528956 2558786 3161195 4526348 5117572 5657935 6322390 6396965 11315870 12644780 12793930 18334931 22631740 25587860 32816023 36669862 65632046 73339724 91674655 131264092 164080115 177659159 183349310 328160230 355318318 366698620 656320460 710636636 888295795 1776591590 3553183180 5152115611 10304231222 20608462444 25760578055 51521156110 103042312220