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1021406431032 = 233313363748729
BaseRepresentation
bin11101101110100001001…
…00010100011100111000
310121122102120101210102000
432313100210110130320
5113213320021243112
62101121100341000
7133536255261651
oct16672044243470
93548376353360
101021406431032
113641a3336409
12145b56b44760
137541a164190
1437617436528
151b880be77dc
hexedd0914738

1021406431032 has 64 divisors (see below), whose sum is σ = 3055489332000. Its totient is φ = 314278900992.

The previous prime is 1021406430953. The next prime is 1021406431051. The reversal of 1021406431032 is 2301346041201.

It is a happy number.

1021406431032 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 0 + 643 + 10 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1021406430987 and 1021406431005.

It is a congruent number.

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, 181871557 + ... + 181877172.

Almost surely, 21021406431032 is an apocalyptic number.

1021406431032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1021406431032 is an abundant number, since it is smaller than the sum of its proper divisors (2034082900968).

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

1021406431032 is a wasteful number, since it uses less digits than its factorization.

1021406431032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363748757 (or 363748747 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 1021406431032 in words is "one trillion, twenty-one billion, four hundred six million, four hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 363748729 727497458 1091246187 1454994916 2182492374 2909989832 3273738561 4364984748 4728733477 6547477122 8729969496 9457466954 9821215683 13094954244 14186200431 18914933908 19642431366 26189908488 28372400862 37829867816 39284862732 42558601293 56744801724 78569725464 85117202586 113489603448 127675803879 170234405172 255351607758 340468810344 510703215516 1021406431032