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1002010110210 = 232537300903937
BaseRepresentation
bin11101001010011000111…
…01001110100100000010
310112210100210210121022100
432211030131032210002
5112404104042011320
62044152254051230
7132251513256444
oct16451435164402
93483323717270
101002010110210
11356a4a6484aa
121422431a9b16
1373648872975
14366d73b4494
151b0e7e74790
hexe94c74e902

1002010110210 has 48 divisors (see below), whose sum is σ = 2675637816696. Its totient is φ = 259981000704.

The previous prime is 1002010110109. The next prime is 1002010110223. The reversal of 1002010110210 is 120110102001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 690167162169 + 311842948041 = 830763^2 + 558429^2 .

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 = 1002010110192 and 1002010110201.

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, 150448639 + ... + 150455298.

Almost surely, 21002010110210 is an apocalyptic number.

1002010110210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002010110210 is an abundant number, since it is smaller than the sum of its proper divisors (1673627706486).

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

1002010110210 is a wasteful number, since it uses less digits than its factorization.

1002010110210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300903987 (or 300903984 counting only the distinct ones).

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

Adding to 1002010110210 its reverse (120110102001), we get a palindrome (1122120212211).

The spelling of 1002010110210 in words is "one trillion, two billion, ten million, one hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 300903937 601807874 902711811 1504519685 1805423622 2708135433 3009039370 4513559055 5416270866 9027118110 11133445669 13540677165 22266891338 27081354330 33400337007 55667228345 66800674014 100201011021 111334456690 167001685035 200402022042 334003370070 501005055105 1002010110210