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10220123144 = 2371146735527
BaseRepresentation
bin10011000010010101…
…01011010000001000
3222101020222001022102
421201022223100020
5131412322420034
64410044412532
7511156420250
oct114112532010
928336861272
1010220123144
114374aa1870
121b92847148
13c6b49bc5a
146cd4a2960
153ec38e97e
hex2612ab408

10220123144 has 64 divisors (see below), whose sum is σ = 23943029760. Its totient is φ = 3973227840.

The previous prime is 10220123141. The next prime is 10220123171. The reversal of 10220123144 is 44132102201.

It is not an unprimeable number, because it can be changed into a prime (10220123141) 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, 269909 + ... + 305435.

It is an arithmetic number, because the mean of its divisors is an integer number (374109840).

Almost surely, 210220123144 is an apocalyptic number.

10220123144 is a gapful number since it is divisible by the number (14) 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 10220123144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11971514880).

10220123144 is an abundant number, since it is smaller than the sum of its proper divisors (13722906616).

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

10220123144 is a wasteful number, since it uses less digits than its factorization.

10220123144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36018 (or 36014 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10220123144 its reverse (44132102201), we get a palindrome (54352225345).

The spelling of 10220123144 in words is "ten billion, two hundred twenty million, one hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 467 616 934 1868 3269 3736 5137 6538 10274 13076 20548 26152 35527 35959 41096 71054 71918 142108 143836 248689 284216 287672 390797 497378 781594 994756 1563188 1989512 2735579 3126376 5471158 10942316 16591109 21884632 33182218 66364436 116137763 132728872 182502199 232275526 365004398 464551052 730008796 929102104 1277515393 1460017592 2555030786 5110061572 10220123144