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101111940096 = 2103291134967
BaseRepresentation
bin101111000101010111…
…1011100010000000000
3100122222122221202022020
41132022233130100000
53124034124040341
6114241123441440
710206435211236
oct1361257342000
9318878852266
10101111940096
1139977066162
121771a226280
1396c4cb106b
144c729ca956
15296bb7d566
hex178abdc400

101111940096 has 88 divisors (see below), whose sum is σ = 278793539520. Its totient is φ = 32541745152.

The previous prime is 101111940091. The next prime is 101111940109. The reversal of 101111940096 is 690049111101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101111940091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478396 + ... + 656571.

Almost surely, 2101111940096 is an apocalyptic number.

101111940096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101111940096 is an abundant number, since it is smaller than the sum of its proper divisors (177681599424).

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

101111940096 is a wasteful number, since it uses less digits than its factorization.

101111940096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135019 (or 1135001 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 33.

The spelling of 101111940096 in words is "one hundred one billion, one hundred eleven million, nine hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2784 3072 3712 5568 7424 11136 14848 22272 29696 44544 89088 1134967 2269934 3404901 4539868 6809802 9079736 13619604 18159472 27239208 32914043 36318944 54478416 65828086 72637888 98742129 108956832 131656172 145275776 197484258 217913664 263312344 290551552 394968516 435827328 526624688 581103104 789937032 871654656 1053249376 1162206208 1579874064 1743309312 2106498752 3159748128 3486618624 4212997504 6319496256 8425995008 12638992512 16851990016 25277985024 33703980032 50555970048 101111940096