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1100012000094 = 232719253456293
BaseRepresentation
bin10000000000011101110…
…100110001001101011110
310220011022201122102202200
4100000131310301031132
5121010311033000334
62201201042432330
7142321215504150
oct20003564611536
93804281572680
101100012000094
11394570107927
121592339626a6
137c96641a317
143b352d0cad0
151d931a71799
hex1001dd3135e

1100012000094 has 144 divisors (see below), whose sum is σ = 2928991339872. Its totient is φ = 292129089408.

The previous prime is 1100012000093. The next prime is 1100012000099. The reversal of 1100012000094 is 4900002100011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100012000093) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2182612 + ... + 2638904.

It is an arithmetic number, because the mean of its divisors is an integer number (20340217638).

Almost surely, 21100012000094 is an apocalyptic number.

1100012000094 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100012000094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464495669936).

1100012000094 is an abundant number, since it is smaller than the sum of its proper divisors (1828979339778).

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

1100012000094 is a wasteful number, since it uses less digits than its factorization.

1100012000094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456399 (or 456377 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 1100012000094 in words is "one trillion, one hundred billion, twelve million, ninety-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 53 57 63 106 114 126 133 159 171 266 318 342 361 371 399 477 722 742 798 954 1007 1083 1113 1197 2014 2166 2226 2394 2527 3021 3249 3339 5054 6042 6498 6678 7049 7581 9063 14098 15162 18126 19133 21147 22743 38266 42294 45486 57399 63441 114798 126882 133931 172197 267862 344394 401793 456293 803586 912586 1205379 1368879 2410758 2737758 3194051 4106637 6388102 8213274 8669567 9582153 17339134 19164306 24183529 26008701 28746459 48367058 52017402 57492918 60686969 72550587 78026103 121373938 145101174 156052206 164721773 169284703 182060907 217651761 329443546 338569406 364121814 435303522 459487051 494165319 507854109 546182721 918974102 988330638 1015708218 1092365442 1153052411 1378461153 1482495957 1523562327 2306104822 2756922306 2964991914 3047124654 3216409357 3459157233 4135383459 6432818714 6918314466 8270766918 8730253969 9649228071 10377471699 17460507938 19298456142 20754943398 26190761907 28947684213 52381523814 57895368426 61111777783 78572285721 122223555566 157144571442 183335333349 366670666698 550006000047 1100012000094