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2130042322320 = 2435117541106993
BaseRepresentation
bin11110111111110000011…
…010100111110110010000
321112122000022102021220020
4132333300122213312100
5234344311313303240
64310310011143440
7306614302002063
oct36776032476620
97478008367806
102130042322320
117513893a7340
122a4996a44b80
13125b291367a3
14751478148da
153a6199010d0
hex1eff06a7d90

2130042322320 has 160 divisors (see below), whose sum is σ = 7204438422144. Its totient is φ = 516300595200.

The previous prime is 2130042322297. The next prime is 2130042322357. The reversal of 2130042322320 is 232232400312.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 19854744 + ... + 19961736.

Almost surely, 22130042322320 is an apocalyptic number.

2130042322320 is a gapful number since it is divisible by the number (20) 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 2130042322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602219211072).

2130042322320 is an abundant number, since it is smaller than the sum of its proper divisors (5074396099824).

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

2130042322320 is a wasteful number, since it uses less digits than its factorization.

2130042322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114561 (or 114555 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2130042322320 its reverse (232232400312), we get a palindrome (2362274722632).

The spelling of 2130042322320 in words is "two trillion, one hundred thirty billion, forty-two million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 7541 15082 22623 30164 37705 45246 60328 75410 82951 90492 106993 113115 120656 150820 165902 180984 213986 226230 248853 301640 320979 331804 361968 414755 427972 452460 497706 534965 603280 641958 663608 829510 855944 904920 995412 1069930 1176923 1244265 1283916 1327216 1604895 1659020 1711888 1809840 1990824 2139860 2353846 2488530 2567832 3209790 3318040 3530769 3981648 4279720 4707692 4977060 5135664 5884615 6419580 6636080 7061538 8559440 9415384 9954120 11769230 12839160 14123076 17653845 18830768 19908240 23538460 25678320 28246152 35307690 47076920 56492304 70615380 94153840 141230760 282461520 806834213 1613668426 2420502639 3227336852 4034171065 4841005278 6454673704 8068342130 8875176343 9682010556 12102513195 12909347408 16136684260 17750352686 19364021112 24205026390 26625529029 32273368520 35500705372 38728042224 44375881715 48410052780 53251058058 64546737040 71001410744 88751763430 96820105560 106502116116 133127645145 142002821488 177503526860 193640211120 213004232232 266255290290 355007053720 426008464464 532510580580 710014107440 1065021161160 2130042322320