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1023214300400 = 245210312481121
BaseRepresentation
bin11101110001111000101…
…00110010110011110000
310121211002120020001221202
432320330110302303300
5113231020330103100
62102020321310332
7133632130023065
oct16707424626360
93554076201852
101023214300400
11364a40885426
121463804953a8
137564787b076
143774959ac6c
151b9397a77d5
hexee3c532cf0

1023214300400 has 60 divisors (see below), whose sum is σ = 2460657705744. Its totient is φ = 408888576000.

The previous prime is 1023214300379. The next prime is 1023214300421. The reversal of 1023214300400 is 40034123201.

It is an interprime number because it is at equal distance from previous prime (1023214300379) and next prime (1023214300421).

It is a super-2 number, since 2×10232143004002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 828161 + ... + 1652960.

Almost surely, 21023214300400 is an apocalyptic number.

1023214300400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023214300400 is an abundant number, since it is smaller than the sum of its proper divisors (1437443405344).

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

1023214300400 is a wasteful number, since it uses less digits than its factorization.

1023214300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482170 (or 2482159 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1023214300400 its reverse (40034123201), we get a palindrome (1063248423601).

The spelling of 1023214300400 in words is "one trillion, twenty-three billion, two hundred fourteen million, three hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1031 2062 4124 5155 8248 10310 16496 20620 25775 41240 51550 82480 103100 206200 412400 2481121 4962242 9924484 12405605 19848968 24811210 39697936 49622420 62028025 99244840 124056050 198489680 248112100 496224200 992448400 2558035751 5116071502 10232143004 12790178755 20464286008 25580357510 40928572016 51160715020 63950893775 102321430040 127901787550 204642860080 255803575100 511607150200 1023214300400