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1070211801168 = 2432312331028939
BaseRepresentation
bin11111001001011011001…
…10000010000001010000
310210022101220022110221100
433210231212002001100
5120013243210114133
62135352025024400
7140214563133546
oct17445546020120
93708356273840
101070211801168
11382968730354
121534b7925100
1379bc756cb13
1439b27233d96
151cc8a762e13
hexf92d982050

1070211801168 has 120 divisors (see below), whose sum is σ = 3104995196160. Its totient is φ = 343747607040.

The previous prime is 1070211801161. The next prime is 1070211801173. The reversal of 1070211801168 is 8611081120701.

It is a super-2 number, since 2×10702118011682 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070211801161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525643 + ... + 1554581.

It is an arithmetic number, because the mean of its divisors is an integer number (25874959968).

Almost surely, 21070211801168 is an apocalyptic number.

1070211801168 is a gapful number since it is divisible by the number (18) 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 1070211801168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552497598080).

1070211801168 is an abundant number, since it is smaller than the sum of its proper divisors (2034783394992).

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

1070211801168 is a wasteful number, since it uses less digits than its factorization.

1070211801168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029217 (or 1029208 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 36.

Adding to 1070211801168 its reverse (8611081120701), we get a palindrome (9681292921869).

The spelling of 1070211801168 in words is "one trillion, seventy billion, two hundred eleven million, eight hundred one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 233 248 279 372 466 496 558 699 744 932 1116 1398 1488 1864 2097 2232 2796 3728 4194 4464 5592 7223 8388 11184 14446 16776 21669 28892 33552 43338 57784 65007 86676 115568 130014 173352 260028 346704 520056 1028939 1040112 2057878 3086817 4115756 6173634 8231512 9260451 12347268 16463024 18520902 24694536 31897109 37041804 49389072 63794218 74083608 95691327 127588436 148167216 191382654 239742787 255176872 287073981 382765308 479485574 510353744 574147962 719228361 765530616 958971148 1148295924 1438456722 1531061232 1917942296 2157685083 2296591848 2876913444 3835884592 4315370166 4593183696 5753826888 7432026397 8630740332 11507653776 14864052794 17261480664 22296079191 29728105588 34522961328 44592158382 59456211176 66888237573 89184316764 118912422352 133776475146 178368633528 267552950292 356737267056 535105900584 1070211801168