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1114210152 = 2332114332717
BaseRepresentation
bin100001001101001…
…0111111101101000
32212122120201222200
41002122113331220
54240214211102
6302321220200
736416426046
oct10232277550
92778521880
101114210152
11521a40640
12271191660
13149ab7963
14a7d9b396
1567c4151c
hex42697f68

1114210152 has 96 divisors (see below), whose sum is σ = 3368645280. Its totient is φ = 329777280.

The previous prime is 1114210147. The next prime is 1114210157. The reversal of 1114210152 is 2510124111.

It is an interprime number because it is at equal distance from previous prime (1114210147) and next prime (1114210157).

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 (1114210157) 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, 17698 + ... + 50414.

It is an arithmetic number, because the mean of its divisors is an integer number (35090055).

Almost surely, 21114210152 is an apocalyptic number.

1114210152 is a gapful number since it is divisible by the number (12) 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 1114210152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684322640).

1114210152 is an abundant number, since it is smaller than the sum of its proper divisors (2254435128).

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

1114210152 is a wasteful number, since it uses less digits than its factorization.

1114210152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32783 (or 32776 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1114210152 is about 33379.7865781074. The cubic root of 1114210152 is about 1036.7062188338.

Adding to 1114210152 its reverse (2510124111), we get a palindrome (3624334263).

The spelling of 1114210152 in words is "one billion, one hundred fourteen million, two hundred ten thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 66 72 86 88 99 129 132 172 198 258 264 344 387 396 473 516 774 792 946 1032 1419 1548 1892 2838 3096 3784 4257 5676 8514 11352 17028 32717 34056 65434 98151 130868 196302 261736 294453 359887 392604 588906 719774 785208 1079661 1177812 1406831 1439548 2159322 2355624 2813662 2879096 3238983 4220493 4318644 5627324 6477966 8440986 8637288 11254648 12661479 12955932 15475141 16881972 25322958 25911864 30950282 33763944 46425423 50645916 61900564 92850846 101291832 123801128 139276269 185701692 278552538 371403384 557105076 1114210152