Search a number
-
+
1002235405530 = 235192988168821
BaseRepresentation
bin11101001010110011110…
…00101010010011011010
310112210221111201210101110
432211121320222103122
5112410034230434110
62044230503001150
7132260220246222
oct16453170522332
93483844653343
101002235405530
11357055838187
121422a67391b6
13736834456c8
143671929d082
151b10cb28a20
hexe959e2a4da

1002235405530 has 128 divisors (see below), whose sum is σ = 2622283372800. Its totient is φ = 244184371200.

The previous prime is 1002235405519. The next prime is 1002235405537. The reversal of 1002235405530 is 355045322001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1002235405537) 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, 14528520 + ... + 14597340.

It is an arithmetic number, because the mean of its divisors is an integer number (20486588850).

Almost surely, 21002235405530 is an apocalyptic number.

1002235405530 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 1002235405530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311141686400).

1002235405530 is an abundant number, since it is smaller than the sum of its proper divisors (1620047967270).

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

1002235405530 is a wasteful number, since it uses less digits than its factorization.

1002235405530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69760.

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 1002235405530 in words is "one trillion, two billion, two hundred thirty-five million, four hundred five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 87 95 114 145 174 190 285 290 435 551 570 870 881 1102 1653 1762 2643 2755 3306 4405 5286 5510 8265 8810 13215 16530 16739 25549 26430 33478 50217 51098 68821 76647 83695 100434 127745 137642 153294 167390 206463 251085 255490 344105 383235 412926 485431 502170 688210 766470 970862 1032315 1307599 1456293 1995809 2064630 2427155 2615198 2912586 3922797 3991618 4854310 5987427 6537995 7281465 7845594 9979045 11974854 13075990 14562930 19613985 19958090 29937135 37920371 39227970 59874270 60631301 75840742 113761113 121262602 181893903 189601855 227522226 303156505 363787806 379203710 568805565 606313010 909469515 1137611130 1151994719 1758307729 1818939030 2303989438 3455984157 3516615458 5274923187 5759973595 6911968314 8791538645 10549846374 11519947190 17279920785 17583077290 26374615935 33407846851 34559841570 52749231870 66815693702 100223540553 167039234255 200447081106 334078468510 501117702765 1002235405530