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232011203100 = 223528316095791
BaseRepresentation
bin1101100000010011110…
…0100000001000011100
3211011212021000021212020
43120010330200020130
512300124331444400
6254330125140140
722522311454515
oct3300474401034
9734767007766
10232011203100
118a439303956
1238b700ba650
1318b56281981
14b32d69da0c
15607d9252a0
hex3604f2021c

232011203100 has 144 divisors (see below), whose sum is σ = 679913149440. Its totient is φ = 61075699200.

The previous prime is 232011203063. The next prime is 232011203113. The reversal of 232011203100 is 1302110232.

232011203100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2320112031002 (a number of 24 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 232011203100.

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, 40061205 + ... + 40066995.

Almost surely, 2232011203100 is an apocalyptic number.

232011203100 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 232011203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339956574720).

232011203100 is an abundant number, since it is smaller than the sum of its proper divisors (447901946340).

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

232011203100 is a wasteful number, since it uses less digits than its factorization.

232011203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7500 (or 7493 counting only the distinct ones).

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

Adding to 232011203100 its reverse (1302110232), we get a palindrome (233313313332).

The spelling of 232011203100 in words is "two hundred thirty-two billion, eleven million, two hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1609 1660 2075 2490 3218 4150 4827 4980 5791 6225 6436 8045 8300 9654 11582 12450 16090 17373 19308 23164 24135 24900 28955 32180 34746 40225 48270 57910 69492 80450 86865 96540 115820 120675 133547 144775 160900 173730 241350 267094 289550 347460 400641 434325 480653 482700 534188 579100 667735 801282 868650 961306 1335470 1441959 1602564 1737300 1922612 2003205 2403265 2670940 2883918 3338675 4006410 4806530 5767836 6677350 7209795 8012820 9317719 9613060 10016025 12016325 13354700 14419590 18635438 20032050 24032650 27953157 28839180 36048975 37270876 40064100 46588595 48065300 55906314 72097950 93177190 111812628 139765785 144195900 186354380 232942975 279531570 465885950 559063140 698828925 773370677 931771900 1397657850 1546741354 2320112031 2795315700 3093482708 3866853385 4640224062 7733706770 9280448124 11600560155 15467413540 19334266925 23201120310 38668533850 46402240620 58002800775 77337067700 116005601550 232011203100