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100403220 = 223519293037
BaseRepresentation
bin1011111110000…
…00100000010100
320222221000022210
411333000200110
5201200400340
613543553420
72326261521
oct577004024
9228830283
10100403220
1151747475
122975b870
1317a551b8
14d498148
158c34180
hex5fc0814

100403220 has 96 divisors (see below), whose sum is σ = 306230400. Its totient is φ = 24482304.

The previous prime is 100403213. The next prime is 100403221. The reversal of 100403220 is 22304001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100403196 and 100403205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100403221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31542 + ... + 34578.

It is an arithmetic number, because the mean of its divisors is an integer number (3189900).

Almost surely, 2100403220 is an apocalyptic number.

100403220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100403220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153115200).

100403220 is an abundant number, since it is smaller than the sum of its proper divisors (205827180).

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

100403220 is a wasteful number, since it uses less digits than its factorization.

100403220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 100403220 is about 10020.1407175748. The cubic root of 100403220 is about 464.7819072077.

Adding to 100403220 its reverse (22304001), we get a palindrome (122707221).

The spelling of 100403220 in words is "one hundred million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 29 30 38 57 58 60 76 87 95 114 116 145 174 190 228 285 290 348 380 435 551 570 580 870 1102 1140 1653 1740 2204 2755 3037 3306 5510 6074 6612 8265 9111 11020 12148 15185 16530 18222 30370 33060 36444 45555 57703 60740 88073 91110 115406 173109 176146 182220 230812 264219 288515 346218 352292 440365 528438 577030 692436 865545 880730 1056876 1154060 1321095 1673387 1731090 1761460 2642190 3346774 3462180 5020161 5284380 6693548 8366935 10040322 16733870 20080644 25100805 33467740 50201610 100403220