Search a number
-
+
100821801492036 = 2232192880792
BaseRepresentation
bin10110111011001001100111…
…101010011101111001000100
3111012222110200200210211000100
4112323021213222131321010
5101203331022140221121
6554232521324444100
730144064141441452
oct2673114752357104
9435873620724010
10100821801492036
112a141316583589
12b383b353a9630
1344345bba90461
141ac7b308039d2
15b9c916a7d026
hex5bb267a9de44

100821801492036 has 81 divisors (see below), whose sum is σ = 268977559787391. Its totient is φ = 31838102152848.

The previous prime is 100821801491947. The next prime is 100821801492073. The reversal of 100821801492036 is 630294108128001.

The square root of 100821801492036 is 10041006.

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

100821801492036 is a `hidden beast` number, since 1 + 0 + 0 + 82 + 1 + 80 + 1 + 492 + 0 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100821801491982 and 100821801492000.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1144630645 + ... + 1144718723.

Almost surely, 2100821801492036 is an apocalyptic number.

100821801492036 is the 10041006-th square number.

It is an amenable number.

100821801492036 is an abundant number, since it is smaller than the sum of its proper divisors (168155758295355).

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

100821801492036 is an frugal number, since it uses more digits than its factorization.

100821801492036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176206 (or 88103 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 100821801492036 in words is "one hundred trillion, eight hundred twenty-one billion, eight hundred one million, four hundred ninety-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 12996 88079 176158 264237 352316 528474 792711 1056948 1585422 1673501 3170844 3347002 5020503 6694004 10041006 15061509 20082012 30123018 31796519 60246036 63593038 95389557 127186076 190779114 286168671 381558228 572337342 1144674684 7757910241 15515820482 23273730723 31031640964 46547461446 69821192169 93094922892 139642384338 147400294579 279284768676 294800589158 442200883737 589601178316 884401767474 1326602651211 1768803534948 2653205302422 2800605597001 5306410604844 5601211194002 8401816791003 11202422388004 16803633582006 25205450373009 33607267164012 50410900746018 100821801492036