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106933432770 = 23351743122721
BaseRepresentation
bin110001110010110111…
…0101011000111000010
3101020000101010012222000
41203211232223013002
53222444424322040
6121042522324430
710503624116133
oct1434556530702
9336011105860
10106933432770
114139415382a
1218883959716
13a1120a9498
145265c0dc8a
152bacca5130
hex18e5bab1c2

106933432770 has 64 divisors (see below), whose sum is σ = 285184730880. Its totient is φ = 28512691200.

The previous prime is 106933432751. The next prime is 106933432789. The reversal of 106933432770 is 77234339601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106933432751) and next prime (106933432789).

It is a super-2 number, since 2×1069334327702 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4695010 + ... + 4717730.

It is an arithmetic number, because the mean of its divisors is an integer number (4456011420).

Almost surely, 2106933432770 is an apocalyptic number.

106933432770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106933432770 is an abundant number, since it is smaller than the sum of its proper divisors (178251298110).

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

106933432770 is a wasteful number, since it uses less digits than its factorization.

106933432770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40168 (or 40162 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 106933432770 in words is "one hundred six billion, nine hundred thirty-three million, four hundred thirty-two thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 17431 22721 34862 45442 52293 68163 87155 104586 113605 136326 156879 174310 204489 227210 261465 313758 340815 408978 470637 522930 613467 681630 784395 941274 1022445 1226934 1568790 2044890 2353185 3067335 4706370 6134670 396049751 792099502 1188149253 1980248755 2376298506 3564447759 3960497510 5940746265 7128895518 10693343277 11881492530 17822238795 21386686554 35644477590 53466716385 106933432770