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10223030100 = 223521271791499
BaseRepresentation
bin10011000010101011…
…10000111101010100
3222101110102201220110
421201111300331110
5131414043430400
64410231003020
7511223215323
oct114125607524
928343381813
1010223030100
1143766a7908
121b93809470
13c6bc7914a
146cda1c0ba
153ec765e50
hex261570f54

10223030100 has 144 divisors (see below), whose sum is σ = 29998080000. Its totient is φ = 2687771520.

The previous prime is 10223030093. The next prime is 10223030117. The reversal of 10223030100 is 103032201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 6819151 + ... + 6820649.

It is an arithmetic number, because the mean of its divisors is an integer number (208320000).

Almost surely, 210223030100 is an apocalyptic number.

10223030100 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 10223030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040000).

10223030100 is an abundant number, since it is smaller than the sum of its proper divisors (19775049900).

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

10223030100 is a wasteful number, since it uses less digits than its factorization.

10223030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10223030100 its reverse (103032201), we get a palindrome (10326062301).

The spelling of 10223030100 in words is "ten billion, two hundred twenty-three million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 179 254 300 358 381 508 537 635 716 762 895 1074 1270 1499 1524 1790 1905 2148 2540 2685 2998 3175 3580 3810 4475 4497 5370 5996 6350 7495 7620 8950 8994 9525 10740 12700 13425 14990 17900 17988 19050 22485 22733 26850 29980 37475 38100 44970 45466 53700 68199 74950 89940 90932 112425 113665 136398 149900 190373 224850 227330 268321 272796 340995 380746 449700 454660 536642 568325 571119 681990 761492 804963 951865 1073284 1136650 1142238 1341605 1363980 1609926 1704975 1903730 2273300 2284476 2683210 2855595 3219852 3409950 3807460 4024815 4759325 5366420 5711190 6708025 6819900 8049630 9518650 11422380 13416050 14277975 16099260 19037300 20124075 26832100 28555950 34076767 40248150 57111900 68153534 80496300 102230301 136307068 170383835 204460602 340767670 408921204 511151505 681535340 851919175 1022303010 1703838350 2044606020 2555757525 3407676700 5111515050 10223030100