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1001100102210 = 232513855641113
BaseRepresentation
bin11101001000101100011…
…01110100101001000010
310112201000101110102000100
432210112031310221002
5112400223111232320
62043522105303230
7132220123316055
oct16442615645102
93481011412010
101001100102210
113566229aaa7a
1214202a494b16
1373532183bb0
143664c5b0a9c
151b09311c790
hexe916374a42

1001100102210 has 48 divisors (see below), whose sum is σ = 2803080289464. Its totient is φ = 246424640256.

The previous prime is 1001100102199. The next prime is 1001100102217. The reversal of 1001100102210 is 122010011001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 802097568801 + 199002533409 = 895599^2 + 446097^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001100102192 and 1001100102201.

It is not an unprimeable number, because it can be changed into a prime (1001100102217) 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, 427819387 + ... + 427821726.

Almost surely, 21001100102210 is an apocalyptic number.

1001100102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001100102210 is an abundant number, since it is smaller than the sum of its proper divisors (1801980187254).

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

1001100102210 is a wasteful number, since it uses less digits than its factorization.

1001100102210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855641139 (or 855641136 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001100102210 its reverse (122010011001), we get a palindrome (1123110113211).

The spelling of 1001100102210 in words is "one trillion, one billion, one hundred million, one hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 855641113 1711282226 2566923339 4278205565 5133846678 7700770017 8556411130 11123334469 12834616695 15401540034 22246668938 25669233390 33370003407 38503850085 55616672345 66740006814 77007700170 100110010221 111233344690 166850017035 200220020442 333700034070 500550051105 1001100102210