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100257137166 = 23471973495171
BaseRepresentation
bin101110101011111001…
…0101000001000001110
3100120210002111021010110
41131113302220020032
53120311311342131
6114020230220450
710146315414354
oct1352762501016
9316702437113
10100257137166
11395785a405a
121751bab4726
1395b9b80904
144bd12777d4
15291bacd646
hex1757ca820e

100257137166 has 64 divisors (see below), whose sum is σ = 206449689600. Its totient is φ = 32442453120.

The previous prime is 100257137161. The next prime is 100257137219. The reversal of 100257137166 is 661731752001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100257137161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19385761 + ... + 19390931.

It is an arithmetic number, because the mean of its divisors is an integer number (3225776400).

Almost surely, 2100257137166 is an apocalyptic number.

100257137166 is an abundant number, since it is smaller than the sum of its proper divisors (106192552434).

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

100257137166 is a wasteful number, since it uses less digits than its factorization.

100257137166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5769.

The product of its (nonzero) digits is 52920, while the sum is 39.

Adding to 100257137166 its reverse (661731752001), we get a palindrome (761988889167).

The spelling of 100257137166 in words is "one hundred billion, two hundred fifty-seven million, one hundred thirty-seven thousand, one hundred sixty-six".

Divisors: 1 2 3 6 47 94 141 197 282 349 394 591 698 1047 1182 2094 5171 9259 10342 15513 16403 18518 27777 31026 32806 49209 55554 68753 98418 137506 206259 243037 412518 486074 729111 1018687 1458222 1804679 2037374 3056061 3231391 3609358 5414037 6112122 6462782 9694173 10828074 19388346 47878289 84819913 95756578 143634867 169639826 254459739 287269734 355521763 508919478 711043526 1066565289 2133130578 16709522861 33419045722 50128568583 100257137166