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104312222100 = 223252889313033
BaseRepresentation
bin110000100100101111…
…1100011000110010100
3100222020200211220220100
41201021133203012110
53202112412101400
6115530444534100
710351645154412
oct1411137430624
9328220756810
10104312222100
1140269591419
1218271b51330
139ab501b058
145097a4a2b2
152aa7ad5100
hex18497e3194

104312222100 has 108 divisors (see below), whose sum is σ = 327022721116. Its totient is φ = 27811330560.

The previous prime is 104312222083. The next prime is 104312222111. The reversal of 104312222100 is 1222213401.

It is a happy number.

104312222100 is a `hidden beast` number, since 1 + 0 + 431 + 2 + 22 + 210 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8155173636 + 96157048464 = 90306^2 + 310092^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 7997184 + ... + 8010216.

Almost surely, 2104312222100 is an apocalyptic number.

104312222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104312222100 is an abundant number, since it is smaller than the sum of its proper divisors (222710499016).

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

104312222100 is a wasteful number, since it uses less digits than its factorization.

104312222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21946 (or 21936 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 104312222100 its reverse (1222213401), we get a palindrome (105534435501).

The spelling of 104312222100 in words is "one hundred four billion, three hundred twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 8893 13033 17786 26066 26679 35572 39099 44465 52132 53358 65165 78198 80037 88930 106716 117297 130330 133395 156396 160074 177860 195495 222325 234594 260660 266790 320148 325825 390990 400185 444650 469188 533580 586485 651650 666975 781980 800370 889300 977475 1172970 1303300 1333950 1600740 1954950 2000925 2345940 2667900 2932425 3909900 4001850 5864850 8003700 11729700 115902469 231804938 347707407 463609876 579512345 695414814 1043122221 1159024690 1390829628 1738537035 2086244442 2318049380 2897561725 3477074070 4172488884 5215611105 5795123450 6954148140 8692685175 10431222210 11590246900 17385370350 20862444420 26078055525 34770740700 52156111050 104312222100