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10223024100 = 223521914912037
BaseRepresentation
bin10011000010101011…
…01111011111100100
3222101110102102200020
421201111233133210
5131414043232400
64410230515140
7511223161662
oct114125573744
928343372606
1010223024100
1143766a3353
121b93805ab0
13c6bc764b3
146cda19c32
153ec7642a0
hex26156f7e4

10223024100 has 144 divisors (see below), whose sum is σ = 31346952000. Its totient is φ = 2565112320.

The previous prime is 10223024089. The next prime is 10223024111. The reversal of 10223024100 is 142032201.

It is an interprime number because it is at equal distance from previous prime (10223024089) and next prime (10223024111).

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 10223024100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843282 + ... + 855318.

Almost surely, 210223024100 is an apocalyptic number.

10223024100 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 10223024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15673476000).

10223024100 is an abundant number, since it is smaller than the sum of its proper divisors (21123927900).

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

10223024100 is a wasteful number, since it uses less digits than its factorization.

10223024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12222 (or 12215 counting only the distinct ones).

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

Adding to 10223024100 its reverse (142032201), we get a palindrome (10365056301).

The spelling of 10223024100 in words is "ten billion, two hundred twenty-three million, twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 149 150 190 228 285 298 300 380 447 475 570 596 745 894 950 1140 1425 1490 1788 1900 2235 2831 2850 2980 3725 4470 5662 5700 7450 8493 8940 11175 11324 12037 14155 14900 16986 22350 24074 28310 33972 36111 42465 44700 48148 56620 60185 70775 72222 84930 120370 141550 144444 169860 180555 212325 228703 240740 283100 300925 361110 424650 457406 601850 686109 722220 849300 902775 914812 1143515 1203700 1372218 1793513 1805550 2287030 2744436 3430545 3587026 3611100 4574060 5380539 5717575 6861090 7174052 8967565 10761078 11435150 13722180 17152725 17935130 21522156 22870300 26902695 34076747 34305450 35870260 44837825 53805390 68153494 68610900 89675650 102230241 107610780 134513475 136306988 170383735 179351300 204460482 269026950 340767470 408920964 511151205 538053900 681534940 851918675 1022302410 1703837350 2044604820 2555756025 3407674700 5111512050 10223024100