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401012210104 = 2311163115324247
BaseRepresentation
bin1011101010111100011…
…00001011100110111000
31102100002020012222012221
411311132030023212320
523032233111210404
6504120015213424
740654312354612
oct5653614134670
91370066188187
10401012210104
11145082a35880
1265876217274
132ba7a26202c
14155a27abdb2
15a6706dc954
hex5d5e30b9b8

401012210104 has 64 divisors (see below), whose sum is σ = 826034307840. Its totient is φ = 180995420160.

The previous prime is 401012210099. The next prime is 401012210147.

It is a happy number.

401012210104 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16526509 + ... + 16550755.

It is an arithmetic number, because the mean of its divisors is an integer number (12906786060).

Almost surely, 2401012210104 is an apocalyptic number.

401012210104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401012210104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413017153920).

401012210104 is an abundant number, since it is smaller than the sum of its proper divisors (425022097736).

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

401012210104 is a wasteful number, since it uses less digits than its factorization.

401012210104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25580 (or 25576 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 401012 and 210104, that added together give a palindrome (611116).

The spelling of 401012210104 in words is "four hundred one billion, twelve million, two hundred ten thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 88 163 326 652 1153 1304 1793 2306 3586 4612 7172 9224 12683 14344 24247 25366 48494 50732 96988 101464 187939 193976 266717 375878 533434 751756 1066868 1503512 2067329 2133736 3952261 4134658 7904522 8269316 15809044 16538632 27956791 31618088 43474871 55913582 86949742 111827164 173899484 223654328 307524701 347798968 615049402 1230098804 2460197608 4556956933 9113913866 18227827732 36455655464 50126526263 100253052526 200506105052 401012210104