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1022111022088 = 23131923158314207
BaseRepresentation
bin11101101111110101001…
…00000111110000001000
310121201020200012201122001
432313322210013300020
5113221240410201323
62101315030240344
7133562602224202
oct16677244076010
93551220181561
101022111022088
11364525031072
12146112ab60b4
1375500120170
1437682c47772
151b8c29c53ad
hexedfa907c08

1022111022088 has 128 divisors (see below), whose sum is σ = 2268551577600. Its totient is φ = 427183739136.

The previous prime is 1022111022047. The next prime is 1022111022089. The reversal of 1022111022088 is 8802201112201.

1022111022088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1022111022089) 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, 71937081 + ... + 71951287.

It is an arithmetic number, because the mean of its divisors is an integer number (17723059200).

Almost surely, 21022111022088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022111022088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134275788800).

1022111022088 is an abundant number, since it is smaller than the sum of its proper divisors (1246440555512).

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

1022111022088 is a wasteful number, since it uses less digits than its factorization.

1022111022088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15851 (or 15847 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

Adding to 1022111022088 its reverse (8802201112201), we get a palindrome (9824312134289).

The spelling of 1022111022088 in words is "one trillion, twenty-two billion, one hundred eleven million, twenty-two thousand, eighty-eight".

Divisors: 1 2 4 8 13 19 23 26 38 46 52 76 92 104 152 184 247 299 437 494 598 874 988 1196 1583 1748 1976 2392 3166 3496 5681 6332 11362 12664 14207 20579 22724 28414 30077 36409 41158 45448 56828 60154 72818 82316 113656 120308 145636 164632 184691 240616 269933 291272 326761 369382 391001 473317 539866 653522 691771 738764 782002 946634 1079732 1307044 1383542 1477528 1564004 1893268 2159464 2614088 2767084 3128008 3509129 3786536 4247893 5534168 6208459 7018258 8495786 8993023 12416918 14036516 16991572 17986046 22489681 24833836 28073032 33983144 35972092 44979362 49667672 71944184 80709967 89958724 161419934 179917448 292365853 322839868 427303939 517262663 584731706 645679736 854607878 1034525326 1169463412 1709215756 2069050652 2338926824 3418431512 4138101304 5554951207 6724414619 9827990597 11109902414 13448829238 19655981194 22219804828 26897658476 39311962388 44439609656 53795316952 78623924776 127763877761 255527755522 511055511044 1022111022088