Search a number
-
+
10012302320 = 2451719439011
BaseRepresentation
bin10010101001100011…
…11001101111110000
3221211202220122201212
421110301321233300
5131001122133240
64333302215252
7503054110526
oct112461715760
927752818655
1010012302320
114278757a19
121b35124528
13c37406c57
146ada46316
153d8edd165
hex254c79bf0

10012302320 has 160 divisors (see below), whose sum is σ = 26551514880. Its totient is φ = 3487518720.

The previous prime is 10012302319. The next prime is 10012302341. The reversal of 10012302320 is 2320321001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10012302295 and 10012302304.

It is a congruent number.

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, 1106615 + ... + 1115625.

It is an arithmetic number, because the mean of its divisors is an integer number (165946968).

Almost surely, 210012302320 is an apocalyptic number.

10012302320 is a gapful number since it is divisible by the number (10) 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 10012302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13275757440).

10012302320 is an abundant number, since it is smaller than the sum of its proper divisors (16539212560).

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

10012302320 is a wasteful number, since it uses less digits than its factorization.

10012302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9103 (or 9097 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10012302320 its reverse (2320321001), we get a palindrome (12332623321).

The spelling of 10012302320 in words is "ten billion, twelve million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 43 68 76 80 85 86 95 136 152 170 172 190 215 272 304 323 340 344 380 430 646 680 688 731 760 817 860 1292 1360 1462 1520 1615 1634 1720 2584 2924 3230 3268 3440 3655 4085 5168 5848 6460 6536 7310 8170 9011 11696 12920 13072 13889 14620 16340 18022 25840 27778 29240 32680 36044 45055 55556 58480 65360 69445 72088 90110 111112 138890 144176 153187 171209 180220 222224 277780 306374 342418 360440 387473 555560 612748 684836 720880 765935 774946 856045 1111120 1225496 1369672 1531870 1549892 1712090 1937365 2450992 2739344 2910553 3063740 3099784 3424180 3874730 5821106 6127480 6199568 6587041 6848360 7361987 7749460 11642212 12254960 13174082 13696720 14552765 14723974 15498920 23284424 26348164 29105530 29447948 30997840 32935205 36809935 46568848 52696328 58211060 58895896 65870410 73619870 105392656 116422120 117791792 125153779 131740820 147239740 232844240 250307558 263481640 294479480 500615116 526963280 588958960 625768895 1001230232 1251537790 2002460464 2503075580 5006151160 10012302320