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10135420120 = 2357231573823
BaseRepresentation
bin10010111000001111…
…00011110011011000
3222011100120200121101
421130013203303120
5131224131420440
64353421121144
7506110435540
oct113407436330
928140520541
1010135420120
1143311a9171
121b6a3b91b4
13c56a83017
146c2134320
153e4c0c69a
hex25c1e3cd8

10135420120 has 64 divisors (see below), whose sum is σ = 27195678720. Its totient is φ = 3323912064.

The previous prime is 10135420117. The next prime is 10135420121. The reversal of 10135420120 is 2102453101.

10135420120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135420121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780472 + ... + 793351.

It is an arithmetic number, because the mean of its divisors is an integer number (424932480).

Almost surely, 210135420120 is an apocalyptic number.

10135420120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10135420120 is an abundant number, since it is smaller than the sum of its proper divisors (17060258600).

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

10135420120 is a wasteful number, since it uses less digits than its factorization.

10135420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573864 (or 1573860 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 10135420120 its reverse (2102453101), we get a palindrome (12237873221).

The spelling of 10135420120 in words is "ten billion, one hundred thirty-five million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 1573823 3147646 6295292 7869115 11016761 12590584 15738230 22033522 31476460 36197929 44067044 55083805 62952920 72395858 88134088 110167610 144791716 180989645 220335220 253385503 289583432 361979290 440670440 506771006 723958580 1013542012 1266927515 1447917160 2027084024 2533855030 5067710060 10135420120