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100200031320 = 233547157113159
BaseRepresentation
bin101110101010001100…
…0110010010001011000
3100120122010000222122010
41131110120302101120
53120202202000240
6114010430225520
710145023133124
oct1352430622130
9316563028563
10100200031320
113954933a644
12175049552a0
1395ab0a807c
144bc7850584
152916a9d280
hex1754632458

100200031320 has 128 divisors (see below), whose sum is σ = 308953958400. Its totient is φ = 25984697856.

The previous prime is 100200031307. The next prime is 100200031339. The reversal of 100200031320 is 23130002001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 100200031296 and 100200031305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 828901 + ... + 942059.

It is an arithmetic number, because the mean of its divisors is an integer number (2413702800).

Almost surely, 2100200031320 is an apocalyptic number.

100200031320 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 100200031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154476979200).

100200031320 is an abundant number, since it is smaller than the sum of its proper divisors (208753927080).

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

100200031320 is a wasteful number, since it uses less digits than its factorization.

100200031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113377 (or 113373 counting only the distinct ones).

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

Adding to 100200031320 its reverse (23130002001), we get a palindrome (123330033321).

The spelling of 100200031320 in words is "one hundred billion, two hundred million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 157 188 235 282 314 376 470 471 564 628 705 785 940 942 1128 1256 1410 1570 1880 1884 2355 2820 3140 3768 4710 5640 6280 7379 9420 14758 18840 22137 29516 36895 44274 59032 73790 88548 110685 113159 147580 177096 221370 226318 295160 339477 442740 452636 565795 678954 885480 905272 1131590 1357908 1697385 2263180 2715816 3394770 4526360 5318473 6789540 10636946 13579080 15955419 17765963 21273892 26592365 31910838 35531926 42547784 53184730 53297889 63821676 71063852 79777095 88829815 106369460 106595778 127643352 142127704 159554190 177659630 212738920 213191556 266489445 319108380 355319260 426383112 532978890 638216760 710638520 835000261 1065957780 1670000522 2131915560 2505000783 3340001044 4175001305 5010001566 6680002088 8350002610 10020003132 12525003915 16700005220 20040006264 25050007830 33400010440 50100015660 100200031320