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101132110100 = 22527211684713
BaseRepresentation
bin101111000101111110…
…0011000100100010100
3100200001001220111100102
41132023330120210110
53124104310010400
6114243124033232
710210101516020
oct1361374304424
9320031814312
10101132110100
113998749218a
1217724b32818
1396c9223988
144c7555b380
15296d8149d5
hex178bf18914

101132110100 has 72 divisors (see below), whose sum is σ = 251996662848. Its totient is φ = 34509484800.

The previous prime is 101132110097. The next prime is 101132110109. The reversal of 101132110100 is 1011231101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132110109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194657 + ... + 490056.

Almost surely, 2101132110100 is an apocalyptic number.

101132110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101132110100 is an abundant number, since it is smaller than the sum of its proper divisors (150864552748).

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

101132110100 is a wasteful number, since it uses less digits than its factorization.

101132110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684945 (or 684938 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101132110100 its reverse (1011231101), we get a palindrome (102143341201).

The spelling of 101132110100 in words is "one hundred one billion, one hundred thirty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 211 350 422 700 844 1055 1477 2110 2954 4220 5275 5908 7385 10550 14770 21100 29540 36925 73850 147700 684713 1369426 2738852 3423565 4792991 6847130 9585982 13694260 17117825 19171964 23964955 34235650 47929910 68471300 95859820 119824775 144474443 239649550 288948886 479299100 577897772 722372215 1011321101 1444744430 2022642202 2889488860 3611861075 4045284404 5056605505 7223722150 10113211010 14447444300 20226422020 25283027525 50566055050 101132110100