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100204121314 = 21121976313331
BaseRepresentation
bin101110101010010100…
…0011000110011100010
3100120122101201210001101
41131110220120303202
53120204223340224
6114011054025014
710145102656243
oct1352450306342
9316571653041
10100204121314
1139550683500
12175061a816a
1395abbaa89b
144bc81d6cca
15291710a044
hex1754a18ce2

100204121314 has 48 divisors (see below), whose sum is σ = 166364307648. Its totient is φ = 45230724000.

The previous prime is 100204121287. The next prime is 100204121333. The reversal of 100204121314 is 413121402001.

It is a junction number, because it is equal to n+sod(n) for n = 100204121291 and 100204121300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30080629 + ... + 30083959.

It is an arithmetic number, because the mean of its divisors is an integer number (3465923076).

Almost surely, 2100204121314 is an apocalyptic number.

100204121314 is a deficient number, since it is larger than the sum of its proper divisors (66160186334).

100204121314 is a wasteful number, since it uses less digits than its factorization.

100204121314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 100204121314 its reverse (413121402001), we get a palindrome (513325523315).

The spelling of 100204121314 in words is "one hundred billion, two hundred four million, one hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 11 22 121 197 242 394 631 1262 2167 3331 4334 6662 6941 13882 23837 36641 47674 73282 76351 124307 152702 248614 403051 656207 806102 1312414 1367377 2101861 2734754 4203722 7218277 14436554 15041147 23120471 30082294 46240942 79401047 158802094 254325181 414066617 508650362 828133234 4554732787 9109465574 50102060657 100204121314