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100738037136 = 24311414653457
BaseRepresentation
bin101110111010001110…
…1000111010110010000
3100122000121101111212110
41131310131013112100
53122302414142021
6114140045425320
710164245121162
oct1356435072620
9318017344773
10100738037136
11397a4aa5350
1217634b6b240
1396656a90c9
144c3909a932
152948e22476
hex1774747590

100738037136 has 80 divisors (see below), whose sum is σ = 290822511168. Its totient is φ = 29782118400.

The previous prime is 100738037119. The next prime is 100738037137. The reversal of 100738037136 is 631730837001.

It is a junction number, because it is equal to n+sod(n) for n = 100738037094 and 100738037103.

It is not an unprimeable number, because it can be changed into a prime (100738037137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2305081 + ... + 2348376.

Almost surely, 2100738037136 is an apocalyptic number.

100738037136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100738037136 is an abundant number, since it is smaller than the sum of its proper divisors (190084474032).

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

100738037136 is a wasteful number, since it uses less digits than its factorization.

100738037136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653520 (or 4653514 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 100738037136 in words is "one hundred billion, seven hundred thirty-eight million, thirty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 246 264 328 451 492 528 656 902 984 1353 1804 1968 2706 3608 5412 7216 10824 21648 4653457 9306914 13960371 18613828 27920742 37227656 51188027 55841484 74455312 102376054 111682968 153564081 190791737 204752108 223365936 307128162 381583474 409504216 572375211 614256324 763166948 819008432 1144750422 1228512648 1526333896 2098709107 2289500844 2457025296 3052667792 4197418214 4579001688 6296127321 8394836428 9158003376 12592254642 16789672856 25184509284 33579345712 50369018568 100738037136