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10211342432 = 256723320441
BaseRepresentation
bin10011000001010010…
…01011100001100000
3222100122102221102212
421200221023201200
5131403100424212
64405132301252
7511021656434
oct114051134140
928318387385
1010211342432
114370044785
121b8b911828
13c69716375
146cc2589c4
153eb707e22
hex260a4b860

10211342432 has 48 divisors (see below), whose sum is σ = 20492205552. Its totient is φ = 5007636480.

The previous prime is 10211342413. The next prime is 10211342503. The reversal of 10211342432 is 23424311201.

It is a junction number, because it is equal to n+sod(n) for n = 10211342398 and 10211342407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489332 + ... + 509772.

It is an arithmetic number, because the mean of its divisors is an integer number (426920949).

Almost surely, 210211342432 is an apocalyptic number.

It is an amenable number.

10211342432 is an abundant number, since it is smaller than the sum of its proper divisors (10280863120).

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

10211342432 is a wasteful number, since it uses less digits than its factorization.

10211342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20751 (or 20743 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10211342432 its reverse (23424311201), we get a palindrome (33635653633).

The spelling of 10211342432 in words is "ten billion, two hundred eleven million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 67 134 233 268 466 536 932 1072 1864 2144 3728 7456 15611 20441 31222 40882 62444 81764 124888 163528 249776 327056 499552 654112 1369547 2739094 4762753 5478188 9525506 10956376 19051012 21912752 38102024 43825504 76204048 152408096 319104451 638208902 1276417804 2552835608 5105671216 10211342432