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10211440120 = 2357245914831
BaseRepresentation
bin10011000001010011…
…00011010111111000
3222100122121220102221
421200221203113320
5131403112040440
64405134333424
7511022544310
oct114051432770
928318556387
1010211440120
114370101112
121b8b95a274
13c6974b97b
146cc282440
153eb726d4a
hex260a635f8

10211440120 has 64 divisors (see below), whose sum is σ = 26270438400. Its totient is φ = 3499405440.

The previous prime is 10211440103. The next prime is 10211440147. The reversal of 10211440120 is 2104411201.

It is a happy number.

It is a super-2 number, since 2×102114401202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10211440094 and 10211440103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681105 + ... + 695935.

It is an arithmetic number, because the mean of its divisors is an integer number (410475600).

Almost surely, 210211440120 is an apocalyptic number.

10211440120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211440120 is an abundant number, since it is smaller than the sum of its proper divisors (16058998280).

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

10211440120 is a wasteful number, since it uses less digits than its factorization.

10211440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17308 (or 17304 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10211440120 its reverse (2104411201), we get a palindrome (12315851321).

The spelling of 10211440120 in words is "ten billion, two hundred eleven million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2459 4918 9836 12295 14831 17213 19672 24590 29662 34426 49180 59324 68852 74155 86065 98360 103817 118648 137704 148310 172130 207634 296620 344260 415268 519085 593240 688520 830536 1038170 2076340 4152680 36469429 72938858 145877716 182347145 255286003 291755432 364694290 510572006 729388580 1021144012 1276430015 1458777160 2042288024 2552860030 5105720060 10211440120