Search a number
-
+
100003942756 = 221727121312
BaseRepresentation
bin101110100100010110…
…0110001000101100100
3100120010110001122200201
41131020230301011210
53114302002132011
6113535143320244
710140122326264
oct1351054610544
9316113048621
10100003942756
1139458689383
121746b150084
139579590233
144ba97a97a4
152904767cc1
hex1748b31164

100003942756 has 81 divisors (see below), whose sum is σ = 190012665241. Its totient is φ = 46043670400.

The previous prime is 100003942721. The next prime is 100003942757. The reversal of 100003942756 is 657249300001.

The square root of 100003942756 is 316234.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 77857740900 + 22146201856 = 279030^2 + 148816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100003942757) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 763388811 + ... + 763388941.

Almost surely, 2100003942756 is an apocalyptic number.

100003942756 is the 316234-th square number.

It is an amenable number.

100003942756 is a deficient number, since it is larger than the sum of its proper divisors (90008722485).

100003942756 is an equidigital number, since it uses as much as digits as its factorization.

100003942756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 100003942756 in words is "one hundred billion, three million, nine hundred forty-two thousand, seven hundred fifty-six".

Divisors: 1 2 4 17 34 68 71 131 142 262 284 289 524 578 1156 1207 2227 2414 4454 4828 5041 8908 9301 10082 17161 18602 20164 20519 34322 37204 37859 41038 68644 75718 82076 85697 151436 158117 171394 291737 316234 342788 583474 632468 660371 1166948 1218431 1320742 1456849 2436862 2641484 2687989 2913698 4873724 4959529 5375978 5827396 9919058 10751956 11226307 19838116 20713327 22452614 41426654 44905228 82853308 86508601 173017202 190847219 346034404 352126559 381694438 704253118 763388876 1408506236 1470646217 2941292434 5882584868 25000985689 50001971378 100003942756