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100202201106 = 237291492831951
BaseRepresentation
bin101110101010010000…
…1000100000000010010
3100120122021010020000120
41131110201010000102
53120203230413411
6114010544531110
710145050441050
oct1352441040022
9316567106016
10100202201106
113954a591857
1217505620a96
1395ab687877
144bc7c571d0
152916d7b106
hex1754844012

100202201106 has 128 divisors (see below), whose sum is σ = 239486976000. Its totient is φ = 27345427200.

The previous prime is 100202201093. The next prime is 100202201117. The reversal of 100202201106 is 601102202001.

It is a super-2 number, since 2×1002022011062 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51358431 + ... + 51360381.

It is an arithmetic number, because the mean of its divisors is an integer number (1870992000).

Almost surely, 2100202201106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100202201106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119743488000).

100202201106 is an abundant number, since it is smaller than the sum of its proper divisors (139284774894).

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

100202201106 is a wasteful number, since it uses less digits than its factorization.

100202201106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100202201106 its reverse (601102202001), we get a palindrome (701304403107).

The spelling of 100202201106 in words is "one hundred billion, two hundred two million, two hundred one thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 149 174 203 283 298 406 447 566 609 849 894 1043 1218 1698 1951 1981 2086 3129 3902 3962 4321 5853 5943 6258 8207 8642 11706 11886 12963 13657 16414 24621 25926 27314 30247 40971 42167 49242 56579 57449 60494 81942 84334 90741 113158 114898 126501 169737 172347 181482 253002 290699 295169 339474 344694 396053 552133 581398 590338 792106 872097 885507 1104266 1188159 1222843 1656399 1744194 1771014 2034893 2376318 2445686 3312798 3668529 3864931 4069786 6104679 7337058 7729862 8430271 8559901 11594793 12209358 16011857 16860542 17119802 23189586 25290813 25679703 32023714 48035571 50581626 51359406 59011897 82267817 96071142 112082999 118023794 164535634 177035691 224165998 246803451 336248997 354071382 493606902 575874719 672497994 1151749438 1727624157 2385766693 3455248314 4771533386 7157300079 14314600158 16700366851 33400733702 50101100553 100202201106