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2313114024 = 2331347233677
BaseRepresentation
bin1000100111011111…
…0101000110101000
312222012112100220210
42021313311012220
514214124122044
61021310021120
7111215100444
oct21167650650
95865470823
102313114024
11a87768891
125467a77a0
132ab2b7230
1417d2c3824
15d81121b9
hex89df51a8

2313114024 has 128 divisors (see below), whose sum is σ = 6396848640. Its totient is φ = 692570112.

The previous prime is 2313113987. The next prime is 2313114059. The reversal of 2313114024 is 4204113132.

2313114024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3416374 + ... + 3417050.

It is an arithmetic number, because the mean of its divisors is an integer number (49975380).

Almost surely, 22313114024 is an apocalyptic number.

2313114024 is a gapful number since it is divisible by the number (24) 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 2313114024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198424320).

2313114024 is an abundant number, since it is smaller than the sum of its proper divisors (4083734616).

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

2313114024 is a wasteful number, since it uses less digits than its factorization.

2313114024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2313114024 is about 48094.8440479850. The cubic root of 2313114024 is about 1322.5101501384.

Adding to 2313114024 its reverse (4204113132), we get a palindrome (6517227156).

The spelling of 2313114024 in words is "two billion, three hundred thirteen million, one hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 233 282 312 376 466 564 611 677 699 932 1128 1222 1354 1398 1833 1864 2031 2444 2708 2796 3029 3666 4062 4888 5416 5592 6058 7332 8124 8801 9087 10951 12116 14664 16248 17602 18174 21902 24232 26403 31819 32853 35204 36348 43804 52806 63638 65706 70408 72696 87608 95457 105612 127276 131412 142363 157741 190914 211224 254552 262824 284726 315482 381828 413647 427089 473223 569452 630964 763656 827294 854178 946446 1138904 1240941 1261928 1654588 1708356 1892892 2050633 2481882 3309176 3416712 3785784 4101266 4963764 6151899 7413827 8202532 9927528 12303798 14827654 16405064 22241481 24607596 29655308 44482962 49215192 59310616 88965924 96379751 177931848 192759502 289139253 385519004 578278506 771038008 1156557012 2313114024