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101110002020192 = 2511838094277843
BaseRepresentation
bin10110111111010110000001…
…110000001110111101100000
3111021000000120212221120022202
4112333112001300032331200
5101223041241004121232
6555013143234152332
730203646051504434
oct2677260160167540
9437000525846282
10101110002020192
112a242569231a60
12b40b9671226a8
13445582b168059
141ad7a708069c4
15ba51833cc162
hex5bf581c0ef60

101110002020192 has 96 divisors (see below), whose sum is σ = 220044766354560. Its totient is φ = 45349231928320.

The previous prime is 101110002020189. The next prime is 101110002020227. The reversal of 101110002020192 is 291020200011101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21496823 + ... + 25774665.

It is an arithmetic number, because the mean of its divisors is an integer number (2292132982860).

Almost surely, 2101110002020192 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 101110002020192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110022383177280).

101110002020192 is an abundant number, since it is smaller than the sum of its proper divisors (118934764334368).

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

101110002020192 is a wasteful number, since it uses less digits than its factorization.

101110002020192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4278756 (or 4278748 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 101110002020192 its reverse (291020200011101), we get a palindrome (392130202031293).

The spelling of 101110002020192 in words is "one hundred one trillion, one hundred ten billion, two million, twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 83 88 166 176 332 352 664 809 913 1328 1618 1826 2656 3236 3652 6472 7304 8899 12944 14608 17798 25888 29216 35596 67147 71192 134294 142384 268588 284768 537176 738617 1074352 1477234 2148704 2954468 4277843 5908936 8555686 11817872 17111372 23635744 34222744 47056273 68445488 94112546 136890976 188225092 355060969 376450184 710121938 752900368 1420243876 1505800736 2840487752 3460774987 3905670659 5680975504 6921549974 7811341318 11361951008 13843099948 15622682636 27686199896 31245365272 38068524857 55372399792 62490730544 76137049714 110744799584 124981461088 152274099428 287244323921 304548198856 574488647842 609096397712 1148977295684 1218192795424 2297954591368 3159687563131 4595909182736 6319375126262 9191818365472 12638750252524 25277500505048 50555001010096 101110002020192