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100011011000970 = 23589283132357977
BaseRepresentation
bin10110101111010110100000…
…110010001100101010001010
3111010002221220022110100000110
4112233112200302030222022
5101102040022304012340
6552412231342415150
730031362041124006
oct2657264062145212
9433087808410013
10100011011000970
1129959482479183
12b2729792914b6
1343a5cc8422934
141a9a7b7347706
15b867b12d3680
hex5af5a0c8ca8a

100011011000970 has 64 divisors (see below), whose sum is σ = 243581034072960. Its totient is φ = 26276764259328.

The previous prime is 100011011000969. The next prime is 100011011001001. The reversal of 100011011000970 is 79000110110001.

It is a super-2 number, since 2×1000110110009702 (a number of 29 digits) contains 22 as substring.

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, 65423379 + ... + 66934598.

It is an arithmetic number, because the mean of its divisors is an integer number (3805953657390).

Almost surely, 2100011011000970 is an apocalyptic number.

100011011000970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100011011000970 is an abundant number, since it is smaller than the sum of its proper divisors (143570023071990).

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

100011011000970 is a wasteful number, since it uses less digits than its factorization.

100011011000970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132358359.

The product of its (nonzero) digits is 63, while the sum is 21.

Adding to 100011011000970 its reverse (79000110110001), we get a palindrome (179011121110971).

The spelling of 100011011000970 in words is "one hundred trillion, eleven billion, eleven million, nine hundred seventy", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 89 178 267 283 445 534 566 849 890 1335 1415 1698 2670 2830 4245 8490 25187 50374 75561 125935 151122 251870 377805 755610 132357977 264715954 397073931 661789885 794147862 1323579770 1985369655 3970739310 11779859953 23559719906 35339579859 37457307491 58899299765 70679159718 74914614982 112371922473 117798599530 176697899295 187286537455 224743844946 353395798590 374573074910 561859612365 1123719224730 3333700366699 6667400733398 10001101100097 16668501833495 20002202200194 33337003666990 50005505500485 100011011000970