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100001314022 = 24373791631237
BaseRepresentation
bin101110100100010001…
…0101111010011100110
3100120010021010002202012
41131020202233103212
53114300314022042
6113535011114222
710140061100321
oct1351042572346
9316107102665
10100001314022
1139457153375
121746a2a2972
139578b7c87c
144ba92c37b8
1529043e8e82
hex17488af4e6

100001314022 has 64 divisors (see below), whose sum is σ = 158657326080. Its totient is φ = 47229122304.

The previous prime is 100001314019. The next prime is 100001314057. The reversal of 100001314022 is 220413100001.

It is a super-2 number, since 2×1000013140222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100001313988 and 100001314006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80841188 + ... + 80842424.

It is an arithmetic number, because the mean of its divisors is an integer number (2479020720).

Almost surely, 2100001314022 is an apocalyptic number.

100001314022 is a deficient number, since it is larger than the sum of its proper divisors (58656012058).

100001314022 is a wasteful number, since it uses less digits than its factorization.

100001314022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100001314022 its reverse (220413100001), we get a palindrome (320414414023).

The spelling of 100001314022 in words is "one hundred billion, one million, three hundred fourteen thousand, twenty-two".

Divisors: 1 2 43 73 79 86 146 158 163 326 1237 2474 3139 3397 5767 6278 6794 7009 11534 11899 12877 14018 23798 25754 53191 90301 97723 106382 180602 195446 201631 247981 403262 495962 511657 553711 940021 1023314 1107422 1880042 3882943 4202089 7133779 7765886 8404178 8670133 14267558 14719063 15928849 17340266 29438126 31857698 40420903 80841806 306752497 613504994 632919709 684940507 1162805977 1265839418 1369881014 2325611954 50000657011 100001314022