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29213980100 = 22521941375019
BaseRepresentation
bin11011001101010010…
…011111010111000100
32210101222020221202222
4123031102133113010
5434312234330400
621230512551512
72052643506434
oct331522372704
983358227688
1029213980100
1111431591708
1257b3852598
1329a7598576
1415b1cbc2c4
15b5eb14185
hex6cd49f5c4

29213980100 has 72 divisors (see below), whose sum is σ = 68358645600. Its totient is φ = 10800518400.

The previous prime is 29213980091. The next prime is 29213980207. The reversal of 29213980100 is 108931292.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109610 + ... + 265409.

Almost surely, 229213980100 is an apocalyptic number.

29213980100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29213980100 is an abundant number, since it is smaller than the sum of its proper divisors (39144665500).

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

29213980100 is a wasteful number, since it uses less digits than its factorization.

29213980100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375093 (or 375086 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 29213980100 in words is "twenty-nine billion, two hundred thirteen million, nine hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 41 50 76 82 95 100 164 190 205 380 410 475 779 820 950 1025 1558 1900 2050 3116 3895 4100 7790 15580 19475 38950 77900 375019 750038 1500076 1875095 3750190 7125361 7500380 9375475 14250722 15375779 18750950 28501444 30751558 35626805 37501900 61503116 71253610 76878895 142507220 153757790 178134025 292139801 307515580 356268050 384394475 584279602 712536100 768788950 1168559204 1460699005 1537577900 2921398010 5842796020 7303495025 14606990050 29213980100