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2113114032 = 2432193492213
BaseRepresentation
bin111110111110011…
…1000111110110000
312110021012022111200
41331330320332300
513311424122112
6545403211200
7103236113211
oct17574707660
95407168450
102113114032
11994885937
124ab816b00
13278a2cc43
14160901408
15c57a7cdc
hex7df38fb0

2113114032 has 120 divisors (see below), whose sum is σ = 6245694000. Its totient is φ = 665086464.

The previous prime is 2113113997. The next prime is 2113114037. The reversal of 2113114032 is 2304113112.

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 = 2113113996 and 2113114014.

It is not an unprimeable number, because it can be changed into a prime (2113114037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 953758 + ... + 955970.

It is an arithmetic number, because the mean of its divisors is an integer number (52047450).

Almost surely, 22113114032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122847000).

2113114032 is an abundant number, since it is smaller than the sum of its proper divisors (4132579968).

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

2113114032 is a wasteful number, since it uses less digits than its factorization.

2113114032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2113114032 is about 45968.6200793541. The cubic root of 2113114032 is about 1283.2392792074.

Adding to 2113114032 its reverse (2304113112), we get a palindrome (4417227144).

The spelling of 2113114032 in words is "two billion, one hundred thirteen million, one hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 349 456 684 698 912 1047 1368 1396 2094 2213 2736 2792 3141 4188 4426 5584 6282 6631 6639 8376 8852 12564 13262 13278 16752 17704 19893 19917 25128 26524 26556 35408 39786 39834 42047 50256 53048 53112 59679 79572 79668 84094 106096 106224 119358 126141 159144 159336 168188 238716 252282 318288 318672 336376 378423 477432 504564 672752 756846 772337 954864 1009128 1513692 1544674 2018256 2317011 3027384 3089348 4634022 6054768 6178696 6951033 9268044 12357392 13902066 14674403 18536088 27804132 29348806 37072176 44023209 55608264 58697612 88046418 111216528 117395224 132069627 176092836 234790448 264139254 352185672 528278508 704371344 1056557016 2113114032