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100301301012 = 22311310316091
BaseRepresentation
bin101110101101001101…
…1000110010100010100
3100120220011121000112110
41131122123012110110
53120404113113022
6114024444551020
710150362664053
oct1353233062424
9316804530473
10100301301012
11395a0519000
1217532852470
1395c6074773
144bd709239a
15292090400c
hex175a6c6514

100301301012 has 96 divisors (see below), whose sum is σ = 257714408448. Its totient is φ = 30359868000.

The previous prime is 100301300989. The next prime is 100301301019. The reversal of 100301301012 is 210103103001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100301301019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16464087 + ... + 16470177.

It is an arithmetic number, because the mean of its divisors is an integer number (2684525088).

Almost surely, 2100301301012 is an apocalyptic number.

100301301012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100301301012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128857204224).

100301301012 is an abundant number, since it is smaller than the sum of its proper divisors (157413107436).

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

100301301012 is a wasteful number, since it uses less digits than its factorization.

100301301012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7162 (or 7138 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100301301012 its reverse (210103103001), we get a palindrome (310404404013).

The spelling of 100301301012 in words is "one hundred billion, three hundred one million, three hundred one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1031 1331 1452 2062 2662 3093 3993 4124 5324 6091 6186 7986 11341 12182 12372 15972 18273 22682 24364 34023 36546 45364 67001 68046 73092 124751 134002 136092 201003 249502 268004 374253 402006 499004 737011 748506 804012 1372261 1474022 1497012 2211033 2744522 2948044 4116783 4422066 5489044 6279821 8107121 8233566 8844132 12559642 16214242 16467132 18839463 24321363 25119284 32428484 37678926 48642726 69078031 75357852 97285452 138156062 207234093 276312124 414468186 759858341 828936372 1519716682 2279575023 3039433364 4559150046 8358441751 9118300092 16716883502 25075325253 33433767004 50150650506 100301301012