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100294471890 = 23352633141079
BaseRepresentation
bin101110101101000000…
…1000011000011010010
3100120212200202001202000
41131122001003003102
53120400341100030
6114024042334430
710150250642064
oct1353201030322
9316780661660
10100294471890
11395976841a8
12175304ba416
1395c4823272
144bd61d5734
152920005860
hex175a0430d2

100294471890 has 64 divisors (see below), whose sum is σ = 267555398400. Its totient is φ = 26734845312.

The previous prime is 100294471867. The next prime is 100294471913. The reversal of 100294471890 is 98174492001.

It is a happy number.

100294471890 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 94 + 471 + 8 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (100294471867) and next prime (100294471913).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon 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, 640371 + ... + 781449.

It is an arithmetic number, because the mean of its divisors is an integer number (4180553100).

Almost surely, 2100294471890 is an apocalyptic number.

100294471890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100294471890 is an abundant number, since it is smaller than the sum of its proper divisors (167260926510).

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

100294471890 is a wasteful number, since it uses less digits than its factorization.

100294471890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143728 (or 143722 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 100294471890 in words is "one hundred billion, two hundred ninety-four million, four hundred seventy-one thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 2633 5266 7899 13165 15798 23697 26330 39495 47394 71091 78990 118485 141079 142182 236970 282158 355455 423237 705395 710910 846474 1269711 1410790 2116185 2539422 3809133 4232370 6348555 7618266 12697110 19045665 38091330 371461007 742922014 1114383021 1857305035 2228766042 3343149063 3714610070 5571915105 6686298126 10029447189 11143830210 16715745315 20058894378 33431490630 50147235945 100294471890