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1101020000094 = 233733749917321
BaseRepresentation
bin10000000001011001111…
…001111110111101011110
310220020220222101010211000
4100001121321332331132
5121014342110000334
62201445051411130
7142355205404520
oct20013171767536
93806828333730
101101020000094
11394a380a5183
12159475453aa6
137ca971c8921
143b40ab3da10
151d9902d3299
hex10059e7ef5e

1101020000094 has 128 divisors (see below), whose sum is σ = 2810321280000. Its totient is φ = 312997063680.

The previous prime is 1101020000081. The next prime is 1101020000111. The reversal of 1101020000094 is 4900000201011.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63556954 + ... + 63574274.

It is an arithmetic number, because the mean of its divisors is an integer number (21955635000).

Almost surely, 21101020000094 is an apocalyptic number.

1101020000094 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 1101020000094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405160640000).

1101020000094 is an abundant number, since it is smaller than the sum of its proper divisors (1709301279906).

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

1101020000094 is a wasteful number, since it uses less digits than its factorization.

1101020000094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18175 (or 18169 counting only the distinct ones).

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

The spelling of 1101020000094 in words is "one trillion, one hundred one billion, twenty million, ninety-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 337 378 499 674 998 1011 1497 2022 2359 2994 3033 3493 4491 4718 6066 6986 7077 8982 9099 10479 13473 14154 17321 18198 20958 21231 26946 31437 34642 42462 51963 62874 63693 94311 103926 121247 127386 155889 168163 188622 242494 311778 336326 363741 467667 504489 727482 935334 1008978 1091223 1177141 1513467 2182446 2354282 3026934 3273669 3531423 4540401 5837177 6547338 7062846 8643179 9080802 10594269 11674354 17286358 17511531 21188538 25929537 31782807 35023062 40860239 51859074 52534593 60502253 63565614 77788611 81720478 105069186 121004506 122580717 155577222 157603779 181506759 233365833 245161434 315207558 363013518 367742151 466731666 544520277 735484302 1089040554 1103226453 1633560831 2206452906 2912751323 3267121662 5825502646 8738253969 17476507938 20389259261 26214761907 40778518522 52429523814 61167777783 78644285721 122335555566 157288571442 183503333349 367006666698 550510000047 1101020000094