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101339992 = 23131731432
BaseRepresentation
bin1100000101001…
…01001101011000
321001200121100001
412002211031120
5201420334432
614020022344
72340242605
oct602451530
9231617301
10101339992
1152227266
1229b319b4
1317cc26c0
14d65d6ac
158d6b9e7
hex60a5358

101339992 has 96 divisors (see below), whose sum is σ = 228977280. Its totient is φ = 41610240.

The previous prime is 101339969. The next prime is 101340049. The reversal of 101339992 is 299933101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2356723 + ... + 2356765.

It is an arithmetic number, because the mean of its divisors is an integer number (2385180).

Almost surely, 2101339992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101339992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114488640).

101339992 is an abundant number, since it is smaller than the sum of its proper divisors (127637288).

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

101339992 is a wasteful number, since it uses less digits than its factorization.

101339992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 37.

The square root of 101339992 is about 10066.7766439909. The cubic root of 101339992 is about 466.2229219493. Note that the first 3 decimals are identical.

The spelling of 101339992 in words is "one hundred one million, three hundred thirty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 17 26 31 34 43 52 62 68 86 104 124 136 172 221 248 344 403 442 527 559 731 806 884 1054 1118 1333 1462 1612 1768 1849 2108 2236 2666 2924 3224 3698 4216 4472 5332 5848 6851 7396 9503 10664 13702 14792 17329 19006 22661 24037 27404 31433 34658 38012 45322 48074 54808 57319 62866 69316 76024 90644 96148 114638 125732 138632 181288 192296 229276 251464 294593 408629 458552 589186 745147 817258 974423 1178372 1490294 1634516 1948846 2356744 2980588 3269032 3897692 5961176 7795384 12667499 25334998 50669996 101339992