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2000022311320 = 23511313116312487
BaseRepresentation
bin11101000110101010100…
…111101001000110011000
321002012101222211101100021
4131012222213221012120
5230232021202430240
64130444135120224
7264332263101445
oct35065247510630
97065358741307
102000022311320
117012284aa6a0
1228374b513074
131167a8076837
146cb3181a9cc
1537059e3854a
hex1d1aa9e9198

2000022311320 has 128 divisors (see below), whose sum is σ = 4929459171840. Its totient is φ = 724275901440.

The previous prime is 2000022311317. The next prime is 2000022311333. The reversal of 2000022311320 is 231132200002.

It is a junction number, because it is equal to n+sod(n) for n = 2000022311294 and 2000022311303.

It is a congruent number.

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, 160162117 + ... + 160174603.

It is an arithmetic number, because the mean of its divisors is an integer number (38511399780).

Almost surely, 22000022311320 is an apocalyptic number.

2000022311320 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 2000022311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464729585920).

2000022311320 is an abundant number, since it is smaller than the sum of its proper divisors (2929436860520).

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

2000022311320 is a wasteful number, since it uses less digits than its factorization.

2000022311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13985 (or 13981 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2000022311320 its reverse (231132200002), we get a palindrome (2231154511322).

The spelling of 2000022311320 in words is "two trillion, twenty-two million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 313 440 626 1163 1252 1565 2326 2504 3130 3443 4652 5815 6260 6886 9304 11630 12487 12520 12793 13772 17215 23260 24974 25586 27544 34430 46520 49948 51172 62435 63965 68860 99896 102344 124870 127930 137357 137720 249740 255860 274714 364019 499480 511720 549428 686785 728038 1098856 1373570 1456076 1820095 2747140 2912152 3640190 3908431 4004209 5494280 7280380 7816862 8008418 14522381 14560760 15633724 16016836 19542155 20021045 29044762 31267448 32033672 39084310 40042090 42992741 58089524 72611905 78168620 80084180 85985482 116179048 145223810 156337240 159746191 160168360 171970964 214963705 290447620 319492382 343941928 429927410 580895240 638984764 798730955 859854820 1277969528 1597461910 1719709640 3194923820 4545505253 6389847640 9091010506 18182021012 22727526265 36364042024 45455052530 50000557783 90910105060 100001115566 181820210120 200002231132 250002788915 400004462264 500005577830 1000011155660 2000022311320