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1001093723316 = 223371227575131
BaseRepresentation
bin11101001000101011101…
…01011111010010110100
310112200222221110022211000
432210111311133102310
5112400214443121231
62043521320443300
7132220015150521
oct16442565372264
93480887408730
101001093723316
1135661a343465
12142028319530
1373530a5c5bb
143664b7d0148
151b0927ac6e6
hexe915d5f4b4

1001093723316 has 96 divisors (see below), whose sum is σ = 2643582735360. Its totient is φ = 327548037600.

The previous prime is 1001093723269. The next prime is 1001093723323. The reversal of 1001093723316 is 6133273901001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1453071 + ... + 2028201.

It is an arithmetic number, because the mean of its divisors is an integer number (27537320160).

Almost surely, 21001093723316 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 1001093723316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321791367680).

1001093723316 is an abundant number, since it is smaller than the sum of its proper divisors (1642489012044).

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

1001093723316 is a wasteful number, since it uses less digits than its factorization.

1001093723316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575442 (or 575434 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 1001093723316 in words is "one trillion, one billion, ninety-three million, seven hundred twenty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 227 284 426 454 639 681 852 908 1278 1362 1917 2043 2556 2724 3834 4086 6129 7668 8172 12258 16117 24516 32234 48351 64468 96702 145053 193404 290106 435159 575131 580212 870318 1150262 1725393 1740636 2300524 3450786 5176179 6901572 10352358 15528537 20704716 31057074 40834301 62114148 81668602 122502903 130554737 163337204 245005806 261109474 367508709 391664211 490011612 522218948 735017418 783328422 1102526127 1174992633 1470034836 1566656844 2205052254 2349985266 3524977899 4410104508 4699970532 7049955798 9269386327 14099911596 18538772654 27808158981 37077545308 55616317962 83424476943 111232635924 166848953886 250273430829 333697907772 500546861658 1001093723316