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103222020402 = 232101409138821
BaseRepresentation
bin110000000100010000…
…0110000100100110010
3100212102201102221022200
41200020200300210302
53142344314123102
6115230342044030
710312636460664
oct1401040604462
9325381387280
10103222020402
113a85a159786
1218008a19616
1399701bb1a7
144dd2d3c534
152a4203751c
hex1808830932

103222020402 has 48 divisors (see below), whose sum is σ = 226415905560. Its totient is φ = 33983136000.

The previous prime is 103222020397. The next prime is 103222020403. The reversal of 103222020402 is 204020222301.

103222020402 is a `hidden beast` number, since 10 + 32 + 220 + 2 + 0 + 402 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102642703641 + 579316761 = 320379^2 + 24069^2 .

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

It is not an unprimeable number, because it can be changed into a prime (103222020403) 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 23 ways as a sum of consecutive naturals, for example, 674152 + ... + 812972.

Almost surely, 2103222020402 is an apocalyptic number.

103222020402 is an abundant number, since it is smaller than the sum of its proper divisors (123193885158).

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

103222020402 is a wasteful number, since it uses less digits than its factorization.

103222020402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139339 (or 139336 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 103222020402 its reverse (204020222301), we get a palindrome (307242242703).

The spelling of 103222020402 in words is "one hundred three billion, two hundred twenty-two million, twenty thousand, four hundred two".

Divisors: 1 2 3 6 9 18 101 202 303 409 606 818 909 1227 1818 2454 3681 7362 41309 82618 123927 138821 247854 277642 371781 416463 743562 832926 1249389 2498778 14020921 28041842 42062763 56777789 84125526 113555578 126188289 170333367 252376578 340666734 511000101 1022000202 5734556689 11469113378 17203670067 34407340134 51611010201 103222020402