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10223231100 = 22352412713067
BaseRepresentation
bin10011000010101101…
…00010000001111100
3222101110210221121220
421201112202001330
5131414121343400
64410235153340
7511225013325
oct114126420174
928343727556
1010223231100
114376824925
121b938a5850
13c6c019794
146cda7144c
153ec7a57a0
hex2615a207c

10223231100 has 144 divisors (see below), whose sum is σ = 30422386176. Its totient is φ = 2649024000.

The previous prime is 10223231087. The next prime is 10223231111. The reversal of 10223231100 is 113232201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10223231100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3331767 + ... + 3334833.

Almost surely, 210223231100 is an apocalyptic number.

10223231100 is a gapful number since it is divisible by the number (10) 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 10223231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15211193088).

10223231100 is an abundant number, since it is smaller than the sum of its proper divisors (20199155076).

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

10223231100 is a wasteful number, since it uses less digits than its factorization.

10223231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10223231100 its reverse (113232201), we get a palindrome (10336463301).

The spelling of 10223231100 in words is "ten billion, two hundred twenty-three million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 271 300 410 492 542 615 813 820 1025 1084 1230 1355 1626 2050 2460 2710 3067 3075 3252 4065 4100 5420 6134 6150 6775 8130 9201 11111 12268 12300 13550 15335 16260 18402 20325 22222 27100 30670 33333 36804 40650 44444 46005 55555 61340 66666 76675 81300 92010 111110 125747 133332 153350 166665 184020 222220 230025 251494 277775 306700 333330 377241 460050 502988 555550 628735 666660 754482 831157 833325 920100 1111100 1257470 1508964 1662314 1666650 1886205 2493471 2514940 3143675 3324628 3333300 3772410 4155785 4986942 6287350 7544820 8311570 9431025 9973884 12467355 12574700 16623140 18862050 20778925 24934710 34077437 37724100 41557850 49869420 62336775 68154874 83115700 102232311 124673550 136309748 170387185 204464622 249347100 340774370 408929244 511161555 681548740 851935925 1022323110 1703871850 2044646220 2555807775 3407743700 5111615550 10223231100