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10201031412 = 223111343313729
BaseRepresentation
bin10011000000000011…
…10110001011110100
3222022221001002101020
421200001312023310
5131342431001122
64404123301140
7510535223235
oct114001661364
928287032336
1010201031412
114365241980
121b8837a7b0
13c67546080
146cab3308c
153ea86cc5c
hex2600762f4

10201031412 has 96 divisors (see below), whose sum is σ = 28030289280. Its totient is φ = 2846638080.

The previous prime is 10201031377. The next prime is 10201031447. The reversal of 10201031412 is 21413010201.

It is an interprime number because it is at equal distance from previous prime (10201031377) and next prime (10201031447).

It is a super-4 number, since 4×102010314124 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10201031391 and 10201031400.

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, 736164 + ... + 749892.

It is an arithmetic number, because the mean of its divisors is an integer number (291982180).

Almost surely, 210201031412 is an apocalyptic number.

10201031412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201031412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14015144640).

10201031412 is an abundant number, since it is smaller than the sum of its proper divisors (17829257868).

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

10201031412 is a wasteful number, since it uses less digits than its factorization.

10201031412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14193 (or 14191 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10201031412 its reverse (21413010201), we get a palindrome (31614041613).

The spelling of 10201031412 in words is "ten billion, two hundred one million, thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 433 572 858 866 1299 1716 1732 2598 4763 5196 5629 9526 11258 13729 14289 16887 19052 22516 27458 28578 33774 41187 54916 57156 61919 67548 82374 123838 151019 164748 178477 185757 247676 302038 356954 371514 453057 535431 604076 713908 743028 906114 1070862 1812228 1963247 2141724 3926494 5889741 5944657 7852988 11779482 11889314 17833971 23558964 23778628 35667942 65391227 71335884 77280541 130782454 154561082 196173681 231841623 261564908 309122164 392347362 463683246 784694724 850085951 927366492 1700171902 2550257853 3400343804 5100515706 10201031412