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10371140120 = 2351119265293
BaseRepresentation
bin10011010100010101…
…10000101000011000
3222202210010111122202
421222022300220120
5132220002440440
64433041305332
7515002144055
oct115212605030
928683114582
1010371140120
114442269090
122015335248
13c93865a03
1470557402c
1540a770615
hex26a2b0a18

10371140120 has 96 divisors (see below), whose sum is σ = 26867175120. Its totient is φ = 3572778240.

The previous prime is 10371140119. The next prime is 10371140209. The reversal of 10371140120 is 2104117301.

It is a happy number.

It is a super-2 number, since 2×103711401202 (a number of 21 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 = 10371140092 and 10371140101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126194 + ... + 191486.

Almost surely, 210371140120 is an apocalyptic number.

10371140120 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 10371140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13433587560).

10371140120 is an abundant number, since it is smaller than the sum of its proper divisors (16496035000).

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

10371140120 is a wasteful number, since it uses less digits than its factorization.

10371140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65353 (or 65330 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 10371140120 its reverse (2104117301), we get a palindrome (12475257421).

The spelling of 10371140120 in words is "ten billion, three hundred seventy-one million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 361 380 418 440 722 760 836 1045 1444 1672 1805 2090 2888 3610 3971 4180 7220 7942 8360 14440 15884 19855 31768 39710 65293 79420 130586 158840 261172 326465 522344 652930 718223 1240567 1305860 1436446 2481134 2611720 2872892 3591115 4962268 5745784 6202835 7182230 9924536 12405670 13646237 14364460 23570773 24811340 27292474 28728920 47141546 49622680 54584948 68231185 94283092 109169896 117853865 136462370 188566184 235707730 259278503 272924740 471415460 518557006 545849480 942830920 1037114012 1296392515 2074228024 2592785030 5185570060 10371140120