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1140330204220 = 225295940183101
BaseRepresentation
bin10000100110000000111…
…110100000110000111100
311001000101120110102021011
4100212000332200300330
5122140344013013340
62231505505445004
7145246305543604
oct20460076406074
94030346412234
101140330204220
113aa67a743389
12165006340764
13836c03a253c
143d29986bc04
151e9e14610ea
hex10980fa0c3c

1140330204220 has 96 divisors (see below), whose sum is σ = 2525569502400. Its totient is φ = 431854080000.

The previous prime is 1140330204197. The next prime is 1140330204259. The reversal of 1140330204220 is 224020330411.

It is a super-3 number, since 3×11403302042203 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1140330204191 and 1140330204200.

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, 13680670 + ... + 13763770.

It is an arithmetic number, because the mean of its divisors is an integer number (26308015650).

Almost surely, 21140330204220 is an apocalyptic number.

1140330204220 is a gapful number since it is divisible by the number (10) 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 1140330204220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262784751200).

1140330204220 is an abundant number, since it is smaller than the sum of its proper divisors (1385239298180).

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

1140330204220 is a wasteful number, since it uses less digits than its factorization.

1140330204220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83599 (or 83597 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1140330204220 its reverse (224020330411), we get a palindrome (1364350534631).

The spelling of 1140330204220 in words is "one trillion, one hundred forty billion, three hundred thirty million, two hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 59 116 118 145 236 290 295 401 580 590 802 1180 1604 1711 2005 3422 4010 6844 8020 8555 11629 17110 23258 23659 34220 46516 47318 58145 83101 94636 116290 118295 166202 232580 236590 332404 415505 473180 686111 831010 1372222 1662020 2409929 2744444 3430555 4819858 4902959 6861110 9639716 9805918 12049645 13722220 19611836 24099290 24514795 33323501 48198580 49029590 66647002 98059180 133294004 142185811 166617505 284371622 333235010 568743244 666470020 710929055 966381529 1421858110 1932763058 1966086559 2843716220 3865526116 3932173118 4831907645 7864346236 9663815290 9830432795 19327630580 19660865590 39321731180 57016510211 114033020422 228066040844 285082551055 570165102110 1140330204220