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1202133114 = 2327132925307
BaseRepresentation
bin100011110100111…
…0001100001111010
310002210000200121200
41013221301201322
54430221224424
6315141515030
741534651160
oct10751614172
93083020550
101202133114
11567633446
12296712a76
13162090390
14b5927230
157080c8c9
hex47a7187a

1202133114 has 96 divisors (see below), whose sum is σ = 3316360320. Its totient is φ = 306101376.

The previous prime is 1202133113. The next prime is 1202133131. The reversal of 1202133114 is 4113312021.

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 (1202133113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34849 + ... + 60155.

It is an arithmetic number, because the mean of its divisors is an integer number (34545420).

Almost surely, 21202133114 is an apocalyptic number.

1202133114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202133114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658180160).

1202133114 is an abundant number, since it is smaller than the sum of its proper divisors (2114227206).

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

1202133114 is a wasteful number, since it uses less digits than its factorization.

1202133114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25364 (or 25361 counting only the distinct ones).

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

The square root of 1202133114 is about 34671.7913295520. The cubic root of 1202133114 is about 1063.2878553109.

Adding to 1202133114 its reverse (4113312021), we get a palindrome (5315445135).

The spelling of 1202133114 in words is "one billion, two hundred two million, one hundred thirty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 29 39 42 58 63 78 87 91 117 126 174 182 203 234 261 273 377 406 522 546 609 754 819 1131 1218 1638 1827 2262 2639 3393 3654 5278 6786 7917 15834 23751 25307 47502 50614 75921 151842 177149 227763 328991 354298 455526 531447 657982 733903 986973 1062894 1467806 1594341 1973946 2201709 2302937 2960919 3188682 4403418 4605874 5137321 5921838 6605127 6908811 9540739 10274642 13210254 13817622 15411963 19081478 20726433 28622217 30823926 41452866 46235889 57244434 66785173 85866651 92471778 133570346 171733302 200355519 400711038 601066557 1202133114