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100122200214 = 2331719298161
BaseRepresentation
bin101110100111110111…
…1111000100010010110
3100120102200120202102120
41131033233320202112
53120022240401324
6113555010120410
710143056442231
oct1351757704226
9316380522376
10100122200214
113950940aa13
12174a2880106
139597c26c6a
144bbb390418
15290ed27179
hex174fbf8896

100122200214 has 64 divisors (see below), whose sum is σ = 209866567680. Its totient is φ = 31804416000.

The previous prime is 100122200173. The next prime is 100122200237. The reversal of 100122200214 is 412002221001.

It is a junction number, because it is equal to n+sod(n) for n = 100122200193 and 100122200202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12264294 + ... + 12272454.

It is an arithmetic number, because the mean of its divisors is an integer number (3279165120).

Almost surely, 2100122200214 is an apocalyptic number.

100122200214 is an abundant number, since it is smaller than the sum of its proper divisors (109744367466).

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

100122200214 is a wasteful number, since it uses less digits than its factorization.

100122200214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9197.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100122200214 its reverse (412002221001), we get a palindrome (512124421215).

The spelling of 100122200214 in words is "one hundred billion, one hundred twenty-two million, two hundred thousand, two hundred fourteen".

Divisors: 1 2 3 6 31 62 71 93 142 186 213 426 929 1858 2201 2787 4402 5574 6603 8161 13206 16322 24483 28799 48966 57598 65959 86397 131918 172794 197877 252991 395754 505982 579431 758973 1158862 1517946 1738293 2044729 3476586 4089458 6134187 7581569 12268374 15163138 17962361 22744707 35924722 45489414 53887083 107774166 235028639 470057278 538291399 705085917 1076582798 1410171834 1614874197 3229748394 16687033369 33374066738 50061100107 100122200214