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4134211102100 = 2252719371915461
BaseRepresentation
bin111100001010010010001…
…011110010010110010100
3112122020010021120002122102
4330022102023302112110
51020213331020231400
612443121431421232
7604454414361062
oct74122213622624
915566107502572
104134211102100
111354344430072
125692a2b24818
1323cb15265351
1410414dbd1032
15728188929d5
hex3c2922f2594

4134211102100 has 72 divisors (see below), whose sum is σ = 8986712313600. Its totient is φ = 1650833641600.

The previous prime is 4134211102061. The next prime is 4134211102157. The reversal of 4134211102100 is 12011124314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 267388370 + ... + 267403830.

It is an arithmetic number, because the mean of its divisors is an integer number (124815448800).

Almost surely, 24134211102100 is an apocalyptic number.

It is an amenable number.

4134211102100 is an abundant number, since it is smaller than the sum of its proper divisors (4852501211500).

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

4134211102100 is a wasteful number, since it uses less digits than its factorization.

4134211102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19913 (or 19906 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 4134211102100 its reverse (12011124314), we get a palindrome (4146222226414).

The spelling of 4134211102100 in words is "four trillion, one hundred thirty-four billion, two hundred eleven million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 719 1438 2876 3595 3719 7190 7438 14380 14876 15461 17975 18595 30922 35950 37190 61844 71900 74380 77305 92975 154610 185950 309220 371900 386525 773050 1546100 2673961 5347922 10695844 11116459 13369805 22232918 26739610 44465836 53479220 55582295 57499459 66849025 111164590 114998918 133698050 222329180 229997836 267396100 277911475 287497295 555822950 574994590 1111645900 1149989180 1437486475 2874972950 5749945900 41342111021 82684222042 165368444084 206710555105 413421110210 826842220420 1033552775525 2067105551050 4134211102100