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100110011202 = 23219673434947
BaseRepresentation
bin101110100111100000…
…1011000101101000010
3100120101211122111020200
41131033001120231002
53120011130324302
6113553452550030
710142551024605
oct1351701305502
9316354574220
10100110011202
1139502545153
121749a782316
139595549c26
144bb98da33c
15290dc1a81c
hex174f058b42

100110011202 has 48 divisors (see below), whose sum is σ = 228660862560. Its totient is φ = 31566640896.

The previous prime is 100110011201. The next prime is 100110011227. The reversal of 100110011202 is 202110011001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100110011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12693 + ... + 447639.

It is an arithmetic number, because the mean of its divisors is an integer number (4763767970).

Almost surely, 2100110011202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110011202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114330431280).

100110011202 is an abundant number, since it is smaller than the sum of its proper divisors (128550851358).

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

100110011202 is a wasteful number, since it uses less digits than its factorization.

100110011202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435647 (or 435644 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100110011202 its reverse (202110011001), we get a palindrome (302220022203).

The spelling of 100110011202 in words is "one hundred billion, one hundred ten million, eleven thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 673 1346 2019 4038 6057 12114 12787 25574 38361 76722 115083 230166 434947 869894 1304841 2609682 3914523 7829046 8263993 16527986 24791979 49583958 74375937 148751874 292719331 585438662 878157993 1756315986 2634473979 5268947958 5561667289 11123334578 16685001867 33370003734 50055005601 100110011202