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100101141414 = 2334189508009
BaseRepresentation
bin101110100111001111…
…1100011001110100110
3100120101012221212012000
41131032133203032212
53120001343011124
6113552534510130
710142412443301
oct1351637431646
9316335855160
10100101141414
11394a853714a
1217497805346
139593762931
144bb866bb38
15290d0676c9
hex174e7e33a6

100101141414 has 64 divisors (see below), whose sum is σ = 230433336000. Its totient is φ = 32187386880.

The previous prime is 100101141379. The next prime is 100101141457. The reversal of 100101141414 is 414141101001.

100101141414 is a `hidden beast` number, since 10 + 0 + 101 + 141 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56959 + ... + 451050.

It is an arithmetic number, because the mean of its divisors is an integer number (3600520875).

Almost surely, 2100101141414 is an apocalyptic number.

100101141414 is an abundant number, since it is smaller than the sum of its proper divisors (130332194586).

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

100101141414 is a wasteful number, since it uses less digits than its factorization.

100101141414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508150 (or 508144 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100101141414 its reverse (414141101001), we get a palindrome (514242242415).

The spelling of 100101141414 in words is "one hundred billion, one hundred one million, one hundred forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 82 89 123 178 246 267 369 534 738 801 1107 1602 2214 2403 3649 4806 7298 10947 21894 32841 65682 98523 197046 508009 1016018 1524027 3048054 4572081 9144162 13716243 20828369 27432486 41656738 45212801 62485107 90425602 124970214 135638403 187455321 271276806 374910642 406915209 562365963 813830418 1124731926 1220745627 1853724841 2441491254 3707449682 5561174523 11122349046 16683523569 33367047138 50050570707 100101141414