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100026101682 = 232132137200029
BaseRepresentation
bin101110100101000000…
…1010010111110110010
3100120011222202110000200
41131022001102332302
53114323140223212
6113541254300030
710140511556463
oct1351201227662
9316158673020
10100026101682
113946a143741
1217476657616
13958104b220
144bac6d6d6a
1529066936dc
hex174a052fb2

100026101682 has 48 divisors (see below), whose sum is σ = 233504620440. Its totient is φ = 30762706176.

The previous prime is 100026101657. The next prime is 100026101753. The reversal of 100026101682 is 286101620001.

It can be written as a sum of positive squares in 4 ways, for example, as 52619313321 + 47406788361 = 229389^2 + 217731^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400044 + ... + 600072.

Almost surely, 2100026101682 is an apocalyptic number.

100026101682 is an abundant number, since it is smaller than the sum of its proper divisors (133478518758).

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

100026101682 is a wasteful number, since it uses less digits than its factorization.

100026101682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202187 (or 202184 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 100026101682 its reverse (286101620001), we get a palindrome (386127721683).

The spelling of 100026101682 in words is "one hundred billion, twenty-six million, one hundred one thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 2137 4274 6411 12822 19233 27781 38466 55562 83343 166686 200029 250029 400058 500058 600087 1200174 1800261 2600377 3600522 5200754 7801131 15602262 23403393 46806786 427461973 854923946 1282385919 2564771838 3847157757 5557005649 7694315514 11114011298 16671016947 33342033894 50013050841 100026101682