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10225452253320 = 2332528404034037
BaseRepresentation
bin1001010011001100110001…
…1100110000000010001000
31100012112200100102101001200
42110303030130300002020
52320013211234101240
633425301413144200
72103523145025423
oct224631434600210
940175610371050
1010225452253320
113292654246917
12119191732b060
135923435b9405
14274cb36809ba
1512aec2b20930
hex94ccc730088

10225452253320 has 48 divisors (see below), whose sum is σ = 33232719824460. Its totient is φ = 2726787267456.

The previous prime is 10225452253301. The next prime is 10225452253333. The reversal of 10225452253320 is 2335225452201.

It is a happy number.

10225452253320 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 54 + 52 + 2 + 533 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9957950206884 + 267502046436 = 3155622^2 + 517206^2 .

It is a super-3 number, since 3×102254522533203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14202016659 + ... + 14202017378.

Almost surely, 210225452253320 is an apocalyptic number.

10225452253320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10225452253320 is an abundant number, since it is smaller than the sum of its proper divisors (23007267571140).

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

10225452253320 is a wasteful number, since it uses less digits than its factorization.

10225452253320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28404034054 (or 28404034047 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 10225452253320 in words is "ten trillion, two hundred twenty-five billion, four hundred fifty-two million, two hundred fifty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 28404034037 56808068074 85212102111 113616136148 142020170185 170424204222 227232272296 255636306333 284040340370 340848408444 426060510555 511272612666 568080680740 681696816888 852121021110 1022545225332 1136161361480 1278181531665 1704242042220 2045090450664 2556363063330 3408484084440 5112726126660 10225452253320