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107433114150 = 235217263316001
BaseRepresentation
bin110010000001110000…
…0110011101000100110
3101021022012100122221210
41210003200303220212
53230010334123100
6121204252252250
710522202255145
oct1440340635046
9337265318853
10107433114150
114162021284a
12189a3171086
13a19177c53b
1452b232175c
152bdbaa8c50
hex1903833a26

107433114150 has 96 divisors (see below), whose sum is σ = 282231498528. Its totient is φ = 26951680000.

The previous prime is 107433114143. The next prime is 107433114169. The reversal of 107433114150 is 51411334701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6706150 + ... + 6722150.

It is an arithmetic number, because the mean of its divisors is an integer number (2939911443).

Almost surely, 2107433114150 is an apocalyptic number.

107433114150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107433114150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141115749264).

107433114150 is an abundant number, since it is smaller than the sum of its proper divisors (174798384378).

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

107433114150 is a wasteful number, since it uses less digits than its factorization.

107433114150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18666 (or 18661 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 107433114150 its reverse (51411334701), we get a palindrome (158844448851).

The spelling of 107433114150 in words is "one hundred seven billion, four hundred thirty-three million, one hundred fourteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 425 510 850 1275 2550 2633 5266 7899 13165 15798 16001 26330 32002 39495 44761 48003 65825 78990 80005 89522 96006 131650 134283 160010 197475 223805 240015 268566 272017 394950 400025 447610 480030 544034 671415 800050 816051 1119025 1200075 1342830 1360085 1632102 2238050 2400150 2720170 3357075 4080255 6714150 6800425 8160510 13600850 20401275 40802550 42130633 84261266 126391899 210653165 252783798 421306330 631959495 716220761 1053265825 1263918990 1432441522 2106531650 2148662283 3159797475 3581103805 4297324566 6319594950 7162207610 10743311415 17905519025 21486622830 35811038050 53716557075 107433114150