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2302012322130 = 23519140916131777
BaseRepresentation
bin100001011111111010101…
…000000111000101010010
322011001220012022102201110
4201133322220013011102
5300204010123302010
64521310241114150
7325213003612653
oct41377250070522
98131805272643
102302012322130
11808306a40524
1231218b328956
13139104262b21
147d5bcd7752a
153ed32185120
hex217faa07152

2302012322130 has 128 divisors (see below), whose sum is σ = 5826622636800. Its totient is φ = 580461133824.

The previous prime is 2302012322101. The next prime is 2302012322131. The reversal of 2302012322130 is 312232102032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2302012322097 and 2302012322106.

It is not an unprimeable number, because it can be changed into a prime (2302012322131) 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, 1295447802 + ... + 1295449578.

It is an arithmetic number, because the mean of its divisors is an integer number (45520489350).

Almost surely, 22302012322130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302012322130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913311318400).

2302012322130 is an abundant number, since it is smaller than the sum of its proper divisors (3524610314670).

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

2302012322130 is a wasteful number, since it uses less digits than its factorization.

2302012322130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2302012322130 its reverse (312232102032), we get a palindrome (2614244424162).

The spelling of 2302012322130 in words is "two trillion, three hundred two billion, twelve million, three hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 1409 1613 1777 2818 3226 3554 4227 4839 5331 7045 8065 8454 8885 9678 10662 14090 16130 17770 21135 24195 26655 26771 30647 33763 42270 48390 53310 53542 61294 67526 80313 91941 101289 133855 153235 160626 168815 183882 202578 267710 306470 337630 401565 459705 506445 803130 919410 1012890 2272717 2503793 2866301 4545434 5007586 5732602 6818151 7511379 8598903 11363585 12518965 13636302 14331505 15022758 17197806 22727170 25037930 28663010 34090755 37556895 42994515 43181623 47572067 54459719 68181510 75113790 85989030 86363246 95144134 108919438 129544869 142716201 163379157 215908115 237860335 259089738 272298595 285432402 326758314 431816230 475720670 544597190 647724345 713581005 816895785 1295448690 1427162010 1633791570 4038618109 8077236218 12115854327 20193090545 24231708654 40386181090 60579271635 76733744071 121158543270 153467488142 230201232213 383668720355 460402464426 767337440710 1151006161065 2302012322130