Search a number
-
+
10102203330 = 235532313383
BaseRepresentation
bin10010110100010001…
…10110001111000010
3222002001002002201220
421122020312033002
5131142131001310
64350233135510
7505225211562
oct113210661702
928061062656
1010102203330
11431448097a
121b5b25a596
13c4cc22b0b
146bb968da2
153e1d4a670
hex25a2363c2

10102203330 has 96 divisors (see below), whose sum is σ = 24855054336. Its totient is φ = 2627768832.

The previous prime is 10102203311. The next prime is 10102203343. The reversal of 10102203330 is 3330220101.

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 47 ways as a sum of consecutive naturals, for example, 26376319 + ... + 26376701.

It is an arithmetic number, because the mean of its divisors is an integer number (258906816).

Almost surely, 210102203330 is an apocalyptic number.

10102203330 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 10102203330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12427527168).

10102203330 is an abundant number, since it is smaller than the sum of its proper divisors (14752851006).

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

10102203330 is a wasteful number, since it uses less digits than its factorization.

10102203330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10102203330 its reverse (3330220101), we get a palindrome (13432423431).

The spelling of 10102203330 in words is "ten billion, one hundred two million, two hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 313 318 383 530 626 766 795 939 1149 1565 1590 1878 1915 2298 2809 3130 3830 4695 5618 5745 8427 9390 11490 14045 16589 16854 20299 28090 33178 40598 42135 49767 60897 82945 84270 99534 101495 119879 121794 165890 202990 239758 248835 304485 359637 497670 599395 608970 719274 879217 1075847 1198790 1758434 1798185 2151694 2637651 3227541 3596370 4396085 5275302 5379235 6353587 6455082 8792170 10758470 12707174 13188255 16137705 19060761 26376510 31767935 32275410 38121522 63535870 95303805 190607610 336740111 673480222 1010220333 1683700555 2020440666 3367401110 5051101665 10102203330