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1022130233220 = 223543607965171
BaseRepresentation
bin11101101111110111011…
…01011001111110000100
310121201022000100202100110
432313323231121332010
5113221310314430340
62101320554113020
7133563224426265
oct16677355317604
93551260322313
101022130233220
11364534962738
1214611941b770
13755040b84b5
143768560896c
151b8c451c680
hexedfbb59f84

1022130233220 has 96 divisors (see below), whose sum is σ = 2929048657920. Its totient is φ = 266181390720.

The previous prime is 1022130233213. The next prime is 1022130233227. The reversal of 1022130233220 is 223320312201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1022130233213) and next prime (1022130233227).

It is a super-3 number, since 3×10221302332203 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022130233227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15651235 + ... + 15716405.

It is an arithmetic number, because the mean of its divisors is an integer number (30510923520).

Almost surely, 21022130233220 is an apocalyptic number.

1022130233220 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 1022130233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464524328960).

1022130233220 is an abundant number, since it is smaller than the sum of its proper divisors (1906918424700).

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

1022130233220 is a wasteful number, since it uses less digits than its factorization.

1022130233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71305 (or 71303 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1022130233220 its reverse (223320312201), we get a palindrome (1245450545421).

The spelling of 1022130233220 in words is "one trillion, twenty-two billion, one hundred thirty million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 6079 12158 18237 24316 30395 36474 60790 65171 72948 91185 121580 130342 182370 195513 260684 261397 325855 364740 391026 522794 651710 782052 784191 977565 1045588 1303420 1306985 1568382 1955130 2613970 2802353 3136764 3910260 3920955 5227940 5604706 7841910 8407059 11209412 14011765 15683820 16814118 28023530 33628236 42035295 56047060 84070590 168141180 396174509 792349018 1188523527 1584698036 1980872545 2377047054 3961745090 4754094108 5942617635 7923490180 11885235270 17035503887 23770470540 34071007774 51106511661 68142015548 85177519435 102213023322 170355038870 204426046644 255532558305 340710077740 511065116610 1022130233220