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2113312302 = 233297183229
BaseRepresentation
bin111110111110110…
…1001011000101110
312110021120101111000
41331331221120232
513312001443202
6545411341130
7103240600233
oct17575513056
95407511430
102113312302
11994a008a2
124ab8b17a6
13278a9c26a
1416095378a
15c57e691c
hex7df6962e

2113312302 has 128 divisors (see below), whose sum is σ = 5007744000. Its totient is φ = 659594880.

The previous prime is 2113312261. The next prime is 2113312309. The reversal of 2113312302 is 2032133112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113312309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9228324 + ... + 9228552.

It is an arithmetic number, because the mean of its divisors is an integer number (39123000).

Almost surely, 22113312302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113312302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503872000).

2113312302 is an abundant number, since it is smaller than the sum of its proper divisors (2894431698).

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

2113312302 is a wasteful number, since it uses less digits than its factorization.

2113312302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2113312302 is about 45970.7766086239. The cubic root of 2113312302 is about 1283.2794126930.

Adding to 2113312302 its reverse (2032133112), we get a palindrome (4145445414).

The spelling of 2113312302 in words is "two billion, one hundred thirteen million, three hundred twelve thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 29 54 58 71 83 87 142 166 174 213 229 249 261 426 458 498 522 639 687 747 783 1278 1374 1494 1566 1917 2059 2061 2241 2407 3834 4118 4122 4482 4814 5893 6177 6183 6641 7221 11786 12354 12366 13282 14442 16259 17679 18531 19007 19923 21663 32518 35358 37062 38014 39846 43326 48777 53037 55593 57021 59769 64989 97554 106074 111186 114042 119538 129978 146331 159111 170897 171063 179307 292662 318222 341794 342126 358614 438993 471511 512691 513189 551203 877986 943022 1025382 1026378 1102406 1349497 1414533 1538073 1653609 2698994 2829066 3076146 3307218 4048491 4243599 4614219 4960827 8096982 8487198 9228438 9921654 12145473 12730797 14882481 24290946 25461594 29764962 36436419 39135413 72872838 78270826 117406239 234812478 352218717 704437434 1056656151 2113312302