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100161060450 = 235211311958183
BaseRepresentation
bin101110101001000010…
…0000111111001100010
3100120112101201001122120
41131102010013321202
53120112212413300
6114002515045110
710144040652333
oct1352204077142
9316471631576
10100161060450
1139529342210
12174b38a0796
1395a2cb1a99
144bc25c828a
1529134513a0
hex1752107e62

100161060450 has 96 divisors (see below), whose sum is σ = 279722668032. Its totient is φ = 23498184000.

The previous prime is 100161060427. The next prime is 100161060457. The reversal of 100161060450 is 54060161001.

It is a self number, because there is not a number n which added to its sum of digits gives 100161060450.

It is not an unprimeable number, because it can be changed into a prime (100161060457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927942 + ... + 1030241.

It is an arithmetic number, because the mean of its divisors is an integer number (2913777792).

Almost surely, 2100161060450 is an apocalyptic number.

100161060450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100161060450 is an abundant number, since it is smaller than the sum of its proper divisors (179561607582).

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

100161060450 is a wasteful number, since it uses less digits than its factorization.

100161060450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958240 (or 1958235 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 100161060450 in words is "one hundred billion, one hundred sixty-one million, sixty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 31 33 50 55 62 66 75 93 110 150 155 165 186 275 310 330 341 465 550 682 775 825 930 1023 1550 1650 1705 2046 2325 3410 4650 5115 8525 10230 17050 25575 51150 1958183 3916366 5874549 9790915 11749098 19581830 21540013 29372745 43080026 48954575 58745490 60703673 64620039 97909150 107700065 121407346 129240078 146863725 182111019 215400130 293727450 303518365 323100195 364222038 538500325 607036730 646200390 667740403 910555095 1077000650 1335480806 1517591825 1615500975 1821110190 2003221209 3035183650 3231001950 3338702015 4006442418 4552775475 6677404030 9105550950 10016106045 16693510075 20032212090 33387020150 50080530225 100161060450