Search a number
-
+
103120300013010 = 23574121881547361
BaseRepresentation
bin10111011100100110010000…
…110110011111010111010010
3111112010012112000021122201020
4113130212100312133113102
5102004010333300404020
61003152451205020310
730502124110504260
oct2734462066372722
9445105460248636
10103120300013010
112a94808a020205
12b6954a39b4696
134570283063ba7
141b67098c29430
15bdc5e04cbc40
hex5dc990d9f5d2

103120300013010 has 128 divisors (see below), whose sum is σ = 289756662870528. Its totient is φ = 22994374656000.

The previous prime is 103120300012997. The next prime is 103120300013053. The reversal of 103120300013010 is 10310003021301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188121730 + ... + 188669090.

It is an arithmetic number, because the mean of its divisors is an integer number (2263723928676).

Almost surely, 2103120300013010 is an apocalyptic number.

103120300013010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103120300013010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144878331435264).

103120300013010 is an abundant number, since it is smaller than the sum of its proper divisors (186636362857518).

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

103120300013010 is a wasteful number, since it uses less digits than its factorization.

103120300013010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569300.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103120300013010 its reverse (10310003021301), we get a palindrome (113430303034311).

The spelling of 103120300013010 in words is "one hundred three trillion, one hundred twenty billion, three hundred million, thirteen thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1435 1722 2870 4305 8610 21881 43762 65643 109405 131286 153167 218810 306334 328215 459501 547361 656430 765835 897121 919002 1094722 1531670 1642083 1794242 2297505 2691363 2736805 3284166 3831527 4485605 4595010 5382726 5473610 6279847 7663054 8210415 8971210 11494581 12559694 13456815 16420830 18839541 19157635 22441801 22989162 26913630 31399235 37679082 38315270 44883602 57472905 62798470 67325403 94197705 112209005 114945810 134650806 157092607 188395410 224418010 314185214 336627015 471277821 673254030 785463035 942555642 1570926070 2356389105 4712778210 11976806041 23953612082 35930418123 59884030205 71860836246 83837642287 119768060410 167675284574 179652090615 251512926861 359304181230 419188211435 491049047681 503025853722 838376422870 982098095362 1257564634305 1473147143043 2455245238405 2515129268610 2946294286086 3437343333767 4910490476810 6874686667534 7365735715215 10312030001301 14731471430430 17186716668835 20624060002602 34373433337670 51560150006505 103120300013010