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10213120434440 = 2357113315948193
BaseRepresentation
bin1001010010011110110101…
…1010100110000100001000
31100011100211220221001210002
42110213231122212010020
52314312432312400230
633415502011342132
72102605434216620
oct224475532460410
940140756831702
1010213120434440
1132883a6258870
12118b455451948
13591129795c71
14274463969880
1512aa001a8545
hex949ed6a6108

10213120434440 has 64 divisors (see below), whose sum is σ = 28649792396160. Its totient is φ = 3183310264320.

The previous prime is 10213120434431. The next prime is 10213120434469. The reversal of 10213120434440 is 4443402131201.

It is a super-2 number, since 2×102131204344402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1657971017 + ... + 1657977176.

It is an arithmetic number, because the mean of its divisors is an integer number (447653006190).

Almost surely, 210213120434440 is an apocalyptic number.

10213120434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213120434440 is an abundant number, since it is smaller than the sum of its proper divisors (18436671961720).

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

10213120434440 is a wasteful number, since it uses less digits than its factorization.

10213120434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315948222 (or 3315948218 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 10213120434440 its reverse (4443402131201), we get a palindrome (14656522565641).

The spelling of 10213120434440 in words is "ten trillion, two hundred thirteen billion, one hundred twenty million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 3315948193 6631896386 13263792772 16579740965 23211637351 26527585544 33159481930 36475430123 46423274702 66318963860 72950860246 92846549404 116058186755 132637927720 145901720492 182377150615 185693098808 232116373510 255328010861 291803440984 364754301230 464232747020 510656021722 729508602460 928465494040 1021312043444 1276640054305 1459017204920 2042624086888 2553280108610 5106560217220 10213120434440