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10201004430 = 2351921078803
BaseRepresentation
bin10011000000000011…
…01111100110001110
3222022220222201100220
421200001233212032
5131342424120210
64404122532210
7510535051461
oct114001574616
928286881326
1010201004430
114365223681
121b88367066
13c675369c6
146cab272d8
153ea864c70
hex26006f98e

10201004430 has 96 divisors (see below), whose sum is σ = 26083223424. Its totient is φ = 2552720832.

The previous prime is 10201004381. The next prime is 10201004431. The reversal of 10201004430 is 3440010201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201004431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1154409 + ... + 1163211.

It is an arithmetic number, because the mean of its divisors is an integer number (271700244).

Almost surely, 210201004430 is an apocalyptic number.

10201004430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201004430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13041611712).

10201004430 is an abundant number, since it is smaller than the sum of its proper divisors (15882218994).

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

10201004430 is a wasteful number, since it uses less digits than its factorization.

10201004430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8958 (or 8939 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10201004430 its reverse (3440010201), we get a palindrome (13641014631).

The spelling of 10201004430 in words is "ten billion, two hundred one million, four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 107 114 190 214 285 321 361 535 570 642 722 1070 1083 1605 1805 2033 2166 3210 3610 4066 5415 6099 8803 10165 10830 12198 17606 20330 26409 30495 38627 44015 52818 60990 77254 88030 115881 132045 167257 193135 231762 264090 334514 386270 501771 579405 836285 941921 1003542 1158810 1672570 1883842 2508855 2825763 3177883 4709605 5017710 5651526 6355766 9419210 9533649 14128815 15889415 17896499 19067298 28257630 31778830 35792998 47668245 53689497 89482495 95336490 107378994 178964990 268447485 340033481 536894970 680066962 1020100443 1700167405 2040200886 3400334810 5100502215 10201004430