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100232121300 = 223525337916633
BaseRepresentation
bin101110101011001001…
…1001100101111010100
3100120201100102022210220
41131112103030233110
53120233410340200
6114013534114340
710145562654663
oct1352623145724
9316640368726
10100232121300
1139565468293
121751364b9b0
1395b493241c
144bcbc04dda
1529197db4a0
hex17564ccbd4

100232121300 has 144 divisors (see below), whose sum is σ = 296274162240. Its totient is φ = 26153487360.

The previous prime is 100232121263. The next prime is 100232121323. The reversal of 100232121300 is 3121232001.

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 100232121300.

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, 6017784 + ... + 6034416.

It is an arithmetic number, because the mean of its divisors is an integer number (2057459460).

Almost surely, 2100232121300 is an apocalyptic number.

100232121300 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 100232121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148137081120).

100232121300 is an abundant number, since it is smaller than the sum of its proper divisors (196042040940).

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

100232121300 is a wasteful number, since it uses less digits than its factorization.

100232121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17082 (or 17075 counting only the distinct ones).

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

Adding to 100232121300 its reverse (3121232001), we get a palindrome (103353353301).

The spelling of 100232121300 in words is "one hundred billion, two hundred thirty-two million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 379 530 636 758 795 1060 1137 1325 1516 1590 1895 2274 2650 3180 3790 3975 4548 5300 5685 7580 7950 9475 11370 15900 16633 18950 20087 22740 28425 33266 37900 40174 49899 56850 60261 66532 80348 83165 99798 100435 113700 120522 166330 199596 200870 241044 249495 301305 332660 401740 415825 498990 502175 602610 831650 881549 997980 1004350 1205220 1247475 1506525 1663300 1763098 2008700 2494950 2644647 3013050 3526196 4407745 4989900 5289294 6026100 6303907 8815490 10578588 12607814 13223235 17630980 18911721 22038725 25215628 26446470 31519535 37823442 44077450 52892940 63039070 66116175 75646884 88154900 94558605 126078140 132232350 157597675 189117210 264464700 315195350 334107071 378234420 472793025 630390700 668214142 945586050 1002321213 1336428284 1670535355 1891172100 2004642426 3341070710 4009284852 5011606065 6682141420 8352676775 10023212130 16705353550 20046424260 25058030325 33410707100 50116060650 100232121300