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41231231106 = 231323124918401
BaseRepresentation
bin100110011001100100…
…101010100010000010
310221102110211120001120
4212121210222202002
51133420143343411
630535200213110
72656514452602
oct463144524202
9127373746046
1041231231106
1116538a5620a
127ba830a196
133b71190190
141dd1d0ac02
151114b41106
hex99992a882

41231231106 has 64 divisors (see below), whose sum is σ = 92746080000. Its totient is φ = 12124569600.

The previous prime is 41231231087. The next prime is 41231231123. The reversal of 41231231106 is 60113213214.

It is a happy number.

It is a super-3 number, since 3×412312311063 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2231506 + ... + 2249906.

It is an arithmetic number, because the mean of its divisors is an integer number (1449157500).

Almost surely, 241231231106 is an apocalyptic number.

41231231106 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41231231106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46373040000).

41231231106 is an abundant number, since it is smaller than the sum of its proper divisors (51514848894).

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

41231231106 is a wasteful number, since it uses less digits than its factorization.

41231231106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19691.

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 41231231106 in words is "forty-one billion, two hundred thirty-one million, two hundred thirty-one thousand, one hundred six".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1249 1794 2498 3747 7494 16237 18401 28727 32474 36802 48711 55203 57454 86181 97422 110406 172362 239213 373451 423223 478426 717639 746902 846446 1120353 1269669 1435278 2240706 2539338 5501899 11003798 16505697 22982849 33011394 45965698 68948547 137897094 298777037 528605527 597554074 896331111 1057211054 1585816581 1792662222 3171633162 6871871851 13743743702 20615615553 41231231106