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100320133230 = 23353143127809
BaseRepresentation
bin101110101101110001…
…0111100000001101110
3100120221111000210111000
41131123202330001232
53120423423230410
6114030400341130
710151012030352
oct1353342740156
9316844023430
10100320133230
1139600110a19
12175390147a6
1395c9c394a5
144bd9795462
1529223c3dc0
hex175b8bc06e

100320133230 has 128 divisors (see below), whose sum is σ = 276800716800. Its totient is φ = 25828070400.

The previous prime is 100320133087. The next prime is 100320133283. The reversal of 100320133230 is 32331023001.

100320133230 is a `hidden beast` number, since 10 + 0 + 320 + 1 + 332 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3593566 + ... + 3621374.

It is an arithmetic number, because the mean of its divisors is an integer number (2162505600).

Almost surely, 2100320133230 is an apocalyptic number.

100320133230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100320133230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138400358400).

100320133230 is an abundant number, since it is smaller than the sum of its proper divisors (176480583570).

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

100320133230 is a wasteful number, since it uses less digits than its factorization.

100320133230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28287 (or 28281 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100320133230 its reverse (32331023001), we get a palindrome (132651156231).

The spelling of 100320133230 in words is "one hundred billion, three hundred twenty million, one hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 431 465 558 837 862 930 1293 1395 1674 2155 2586 2790 3879 4185 4310 6465 7758 8370 11637 12930 13361 19395 23274 26722 27809 38790 40083 55618 58185 66805 80166 83427 116370 120249 133610 139045 166854 200415 240498 250281 278090 360747 400830 417135 500562 601245 721494 750843 834270 862079 1202490 1251405 1501686 1724158 1803735 2502810 2586237 3607470 3754215 4310395 5172474 7508430 7758711 8620790 11985679 12931185 15517422 23276133 23971358 25862370 35957037 38793555 46552266 59928395 71914074 77587110 107871111 116380665 119856790 179785185 215742222 232761330 323613333 359570370 371556049 539355555 647226666 743112098 1078711110 1114668147 1618066665 1857780245 2229336294 3236133330 3344004441 3715560490 5573340735 6688008882 10032013323 11146681470 16720022205 20064026646 33440044410 50160066615 100320133230