Search a number
-
+
100231223220 = 22325829671701
BaseRepresentation
bin101110101011000111…
…1110001011110110100
3100120201021201200212200
41131112033301132310
53120233143120340
6114013502544500
710145552224452
oct1352617613664
9316637650780
10100231223220
1139564a04577
1217513298130
1395b46a970b
144bcba4d9d2
1529196b0330
hex17563f17b4

100231223220 has 72 divisors (see below), whose sum is σ = 304401912360. Its totient is φ = 26696044800.

The previous prime is 100231223201. The next prime is 100231223251. The reversal of 100231223220 is 22322132001.

100231223220 is a `hidden beast` number, since 100 + 2 + 312 + 232 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55175184 + 100176048036 = 7428^2 + 316506^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100231223193 and 100231223202.

It is a congruent number.

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, 186631 + ... + 485070.

Almost surely, 2100231223220 is an apocalyptic number.

100231223220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100231223220 is an abundant number, since it is smaller than the sum of its proper divisors (204170689140).

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

100231223220 is a wasteful number, since it uses less digits than its factorization.

100231223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672545 (or 672540 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100231223220 its reverse (22322132001), we get a palindrome (122553355221).

The spelling of 100231223220 in words is "one hundred billion, two hundred thirty-one million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 829 1658 2487 3316 4145 4974 7461 8290 9948 12435 14922 16580 24870 29844 37305 49740 74610 149220 671701 1343402 2015103 2686804 3358505 4030206 6045309 6717010 8060412 10075515 12090618 13434020 20151030 24181236 30226545 40302060 60453090 120906180 556840129 1113680258 1670520387 2227360516 2784200645 3341040774 5011561161 5568401290 6682081548 8352601935 10023122322 11136802580 16705203870 20046244644 25057805805 33410407740 50115611610 100231223220