Search a number
-
+
35013251021340 = 22358772857232901
BaseRepresentation
bin1111111011000001010000…
…11000111011101000011100
311120222020022122221111220110
413331200220120323220130
514042124114230140330
6202244510535050020
710242424000103544
oct775405030735034
9146866278844813
1035013251021340
111017a044454019
123b15976b10910
13166c9738b4737
14890916962324
1540ab959d3db0
hex1fd82863ba1c

35013251021340 has 96 divisors (see below), whose sum is σ = 98183665145664. Its totient is φ = 9322916198400.

The previous prime is 35013251021317. The next prime is 35013251021417. The reversal of 35013251021340 is 4312015231053.

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

It is a junction number, because it is equal to n+sod(n) for n = 35013251021298 and 35013251021307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150218890 + ... + 150451790.

It is an arithmetic number, because the mean of its divisors is an integer number (1022746511934).

Almost surely, 235013251021340 is an apocalyptic number.

35013251021340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35013251021340 is an abundant number, since it is smaller than the sum of its proper divisors (63170414124324).

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

35013251021340 is a wasteful number, since it uses less digits than its factorization.

35013251021340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236647 (or 236645 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 35013251021340 its reverse (4312015231053), we get a palindrome (39325266252393).

The spelling of 35013251021340 in words is "thirty-five trillion, thirteen billion, two hundred fifty-one million, twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 877 1754 2631 2857 3508 4385 5262 5714 8571 8770 10524 11428 13155 14285 17142 17540 26310 28570 34284 42855 52620 57140 85710 171420 232901 465802 698703 931604 1164505 1397406 2329010 2505589 2794812 3493515 4658020 5011178 6987030 7516767 10022356 12527945 13974060 15033534 25055890 30067068 37583835 50111780 75167670 150335340 204254177 408508354 612762531 665398157 817016708 1021270885 1225525062 1330796314 1996194471 2042541770 2451050124 2661592628 3063812655 3326990785 3992388942 4085083540 6127625310 6653981570 7984777884 9980972355 12255250620 13307963140 19961944710 39923889420 583554183689 1167108367378 1750662551067 2334216734756 2917770918445 3501325102134 5835541836890 7002650204268 8753312755335 11671083673780 17506625510670 35013251021340