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41313223100 = 22522947929741
BaseRepresentation
bin100110011110011101…
…011100000110111100
310221122012010011221002
4212132131130012330
51134102141114400
630551245425432
72661531413402
oct463635340674
9127565104832
1041313223100
1116580267a96
12800b86b278
133b8516a156
141ddcb71472
15111be39ed5
hex99e75c1bc

41313223100 has 72 divisors (see below), whose sum is σ = 92937801600. Its totient is φ = 15921606400.

The previous prime is 41313223087. The next prime is 41313223141. The reversal of 41313223100 is 132231314.

It is a super-2 number, since 2×413132231002 (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1374230 + ... + 1403970.

It is an arithmetic number, because the mean of its divisors is an integer number (1290802800).

Almost surely, 241313223100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41313223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46468900800).

41313223100 is an abundant number, since it is smaller than the sum of its proper divisors (51624578500).

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

41313223100 is a wasteful number, since it uses less digits than its factorization.

41313223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30263 (or 30256 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 41313223100 its reverse (132231314), we get a palindrome (41445454414).

The spelling of 41313223100 in words is "forty-one billion, three hundred thirteen million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 479 580 725 958 1450 1916 2395 2900 4790 9580 11975 13891 23950 27782 29741 47900 55564 59482 69455 118964 138910 148705 277820 297410 347275 594820 694550 743525 862489 1389100 1487050 1724978 2974100 3449956 4312445 8624890 14245939 17249780 21562225 28491878 43124450 56983756 71229695 86248900 142459390 284918780 356148475 413132231 712296950 826264462 1424593900 1652528924 2065661155 4131322310 8262644620 10328305775 20656611550 41313223100