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2042112402 = 2321121039103
BaseRepresentation
bin111100110111000…
…0010100110010010
312021022121001120200
41321232002212102
513140240044102
6534345320030
7101414445321
oct17156024622
95238531520
102042112402
119587a0300
1248ba96016
13267100545
141552dc0b8
15be43051c
hex79b82992

2042112402 has 72 divisors (see below), whose sum is σ = 4911134592. Its totient is φ = 612746640.

The previous prime is 2042112377. The next prime is 2042112421.

2042112402 is a `hidden beast` number, since 2 + 0 + 421 + 1 + 240 + 2 = 666.

2042112402 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 219783 + ... + 228885.

Almost surely, 22042112402 is an apocalyptic number.

2042112402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042112402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455567296).

2042112402 is an abundant number, since it is smaller than the sum of its proper divisors (2869022190).

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

2042112402 is a wasteful number, since it uses less digits than its factorization.

2042112402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9236 (or 9222 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2042112402 is about 45189.7377952119. The cubic root of 2042112402 is about 1268.7027491863.

It can be divided in two parts, 20421 and 12402, that added together give a palindrome (32823).

The spelling of 2042112402 in words is "two billion, forty-two million, one hundred twelve thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 121 198 206 242 309 363 618 726 927 1089 1133 1854 2178 2266 3399 6798 9103 10197 12463 18206 20394 24926 27309 37389 54618 74778 81927 100133 112167 163854 200266 224334 300399 600798 901197 937609 1101463 1802394 1875218 2202926 2812827 3304389 5625654 6608778 8438481 9913167 10313699 16876962 19826334 20627398 30941097 61882194 92823291 113450689 185646582 226901378 340352067 680704134 1021056201 2042112402