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23213003100 = 22352711539587
BaseRepresentation
bin10101100111100110…
…100101000101011100
32012220202100201220120
4111213212211011130
5340020012044400
614355223114540
71451145161610
oct254746450534
965822321816
1023213003100
119932153891
1245b9ba2a50
13225c249bc1
1411a2cd7340
1590cd86ca0
hex5679a515c

23213003100 has 144 divisors (see below), whose sum is σ = 76832249088. Its totient is φ = 5300674560.

The previous prime is 23213003089. The next prime is 23213003119. The reversal of 23213003100 is 130031232.

It is a super-2 number, since 2×232130031002 (a number of 22 digits) contains 22 as substring.

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 23213003100.

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, 2416507 + ... + 2426093.

Almost surely, 223213003100 is an apocalyptic number.

23213003100 is a gapful number since it is divisible by the number (20) 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 23213003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38416124544).

23213003100 is an abundant number, since it is smaller than the sum of its proper divisors (53619245988).

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

23213003100 is a wasteful number, since it uses less digits than its factorization.

23213003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10764 (or 10757 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23213003100 its reverse (130031232), we get a palindrome (23343034332).

The spelling of 23213003100 in words is "twenty-three billion, two hundred thirteen million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1153 2100 2306 3459 4612 5765 6918 8071 9587 11530 13836 16142 17295 19174 23060 24213 28761 28825 32284 34590 38348 40355 47935 48426 57522 57650 67109 69180 80710 86475 95870 96852 115044 115300 121065 134218 143805 161420 172950 191740 201327 201775 239675 242130 268436 287610 335545 345900 402654 403550 479350 484260 575220 605325 671090 719025 805308 807100 958700 1006635 1210650 1342180 1438050 1677725 2013270 2421300 2876100 3355450 4026540 5033175 6710900 10066350 11053811 20132700 22107622 33161433 44215244 55269055 66322866 77376677 110538110 132645732 154753354 165807165 221076220 232130031 276345275 309506708 331614330 386883385 464260062 552690550 663228660 773766770 829035825 928520124 1105381100 1160650155 1547533540 1658071650 1934416925 2321300310 3316143300 3868833850 4642600620 5803250775 7737667700 11606501550 23213003100