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1001100070100 = 225213974379039
BaseRepresentation
bin11101001000101100011…
…01101100110011010100
310112201000101101202222002
432210112031230303110
5112400223104220400
62043522104454432
7132220123123334
oct16442615546324
93481011352862
101001100070100
11356622988939
1214202a47a418
13735321723b0
143664c5a30c4
151b093112ed5
hexe91636ccd4

1001100070100 has 72 divisors (see below), whose sum is σ = 2339763578880. Its totient is φ = 369594334080.

The previous prime is 1001100070079. The next prime is 1001100070111. The reversal of 1001100070100 is 10700011001.

1001100070100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12626381 + ... + 12705419.

Almost surely, 21001100070100 is an apocalyptic number.

1001100070100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001100070100 is an abundant number, since it is smaller than the sum of its proper divisors (1338663508780).

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

1001100070100 is a wasteful number, since it uses less digits than its factorization.

1001100070100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88809 (or 88802 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 11.

Adding to 1001100070100 its reverse (10700011001), we get a palindrome (1011800081101).

The spelling of 1001100070100 in words is "one trillion, one billion, one hundred million, seventy thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 9743 19486 38972 48715 79039 97430 126659 158078 194860 243575 253318 316156 395195 487150 506636 633295 790390 974300 1027507 1266590 1580780 1975975 2055014 2533180 3166475 3951950 4110028 5137535 6332950 7903900 10275070 12665900 20550140 25687675 51375350 102750700 770076977 1540153954 3080307908 3850384885 7700769770 10011000701 15401539540 19251924425 20022001402 38503848850 40044002804 50055003505 77007697700 100110007010 200220014020 250275017525 500550035050 1001100070100