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100310333142 = 231959151283349
BaseRepresentation
bin101110101101011110…
…1100011011011010110
3100120220210120220021210
41131122331203123112
53120413421130032
6114025410322250
710150532522565
oct1353275433326
9316823526253
10100310333142
11395a5627a78
1217535889386
1395c7bb7916
144bd8363bdc
1529215da2cc
hex175af636d6

100310333142 has 128 divisors (see below), whose sum is σ = 217566720000. Its totient is φ = 30736195200.

The previous prime is 100310333099. The next prime is 100310333183. The reversal of 100310333142 is 241333013001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287421984 + ... + 287422332.

It is an arithmetic number, because the mean of its divisors is an integer number (1699740000).

Almost surely, 2100310333142 is an apocalyptic number.

100310333142 is an abundant number, since it is smaller than the sum of its proper divisors (117256386858).

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

100310333142 is a wasteful number, since it uses less digits than its factorization.

100310333142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100310333142 its reverse (241333013001), we get a palindrome (341643346143).

The spelling of 100310333142 in words is "one hundred billion, three hundred ten million, three hundred thirty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 19 38 57 59 114 118 151 177 283 302 349 354 453 566 698 849 906 1047 1121 1698 2094 2242 2869 3363 5377 5738 6631 6726 8607 8909 10754 13262 16131 16697 17214 17818 19893 20591 26727 32262 33394 39786 41182 42733 50091 52699 53454 61773 85466 98767 100182 105398 123546 128199 158097 169271 197534 256398 296301 316194 317243 338542 391229 507813 592602 634486 782458 811927 951729 1001281 1015626 1173687 1623854 1876573 1903458 2002562 2347374 2435781 2521247 3003843 3109241 3753146 4871562 5042494 5629719 5827253 6007686 6218482 7563741 9327723 11259438 11654506 14913817 15127482 17481759 18655446 29827634 34963518 44741451 47903693 59075579 89482902 95807386 110717807 118151158 143711079 177226737 221435614 283362523 287422158 332153421 354453474 566725046 664306842 850087569 879915203 1700175138 1759830406 2639745609 5279491218 16718388857 33436777714 50155166571 100310333142