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100249424925 = 35213414358321
BaseRepresentation
bin101110101011101010…
…1001101010000011101
3100120202112222102220220
41131113111031100131
53120302323044200
6114015353031553
710146163023606
oct1352725152035
9316675872826
10100249424925
1139574206801
12175193b55b9
1395b83b0460
144bd022adad
15291b0a84a0
hex175754d41d

100249424925 has 96 divisors (see below), whose sum is σ = 187104441216. Its totient is φ = 47029248000.

The previous prime is 100249424923. The next prime is 100249424939. The reversal of 100249424925 is 529424942001.

It is not a de Polignac number, because 100249424925 - 21 = 100249424923 is a prime.

It is a super-2 number, since 2×1002494249252 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100249424921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1689765 + ... + 1748085.

It is an arithmetic number, because the mean of its divisors is an integer number (1949004596).

Almost surely, 2100249424925 is an apocalyptic number.

100249424925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100249424925 is a deficient number, since it is larger than the sum of its proper divisors (86855016291).

100249424925 is a wasteful number, since it uses less digits than its factorization.

100249424925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58431 (or 58426 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 100249424925 in words is "one hundred billion, two hundred forty-nine million, four hundred twenty-four thousand, nine hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 41 43 65 75 123 129 195 205 215 325 533 559 615 645 975 1025 1075 1599 1677 1763 2665 2795 3075 3225 5289 7995 8385 8815 13325 13975 22919 26445 39975 41925 44075 58321 68757 114595 132225 174963 291605 343785 572975 758173 874815 1458025 1718925 2274519 2391161 2507803 3790865 4374075 7173483 7523409 11372595 11955805 12539015 18954325 31085093 32601439 35867415 37617045 56862975 59779025 62695075 93255279 97804317 102819923 155425465 163007195 179337075 188085225 308459769 466276395 489021585 514099615 777127325 815035975 1336658999 1542298845 2331381975 2445107925 2570498075 4009976997 6683294995 7711494225 20049884985 33416474975 100249424925