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10031220414 = 2332310179967
BaseRepresentation
bin10010101011110100…
…00100011010111110
3221220002111210111000
421111322010122332
5131020443023124
64335215511130
7503403652365
oct112572043276
927802453430
1010031220414
1142883a9406
121b3b5284a6
13c3b2cbaa7
146b236c7dc
153da9c86c9
hex255e846be

10031220414 has 64 divisors (see below), whose sum is σ = 23491399680. Its totient is φ = 3166653600.

The previous prime is 10031220383. The next prime is 10031220421. The reversal of 10031220414 is 41402213001.

10031220414 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 220 + 414 = 666.

10031220414 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85459 + ... + 165425.

It is an arithmetic number, because the mean of its divisors is an integer number (367053120).

Almost surely, 210031220414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031220414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11745699840).

10031220414 is an abundant number, since it is smaller than the sum of its proper divisors (13460179266).

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

10031220414 is a wasteful number, since it uses less digits than its factorization.

10031220414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80102 (or 80096 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10031220414 its reverse (41402213001), we get a palindrome (51433433415).

The spelling of 10031220414 in words is "ten billion, thirty-one million, two hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 101 138 202 207 303 414 606 621 909 1242 1818 2323 2727 4646 5454 6969 13938 20907 41814 62721 79967 125442 159934 239901 479802 719703 1439406 1839241 2159109 3678482 4318218 5517723 8076667 11035446 16153334 16553169 24230001 33106338 48460002 49659507 72690003 99319014 145380006 185763341 218070009 371526682 436140018 557290023 1114580046 1671870069 3343740138 5015610207 10031220414