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1002010210100 = 225259787215797
BaseRepresentation
bin11101001010011000111…
…01100110111100110100
310112210100210222200022222
432211030131212330310
5112404104103210400
62044152300141512
7132251514153614
oct16451435467464
93483323880288
101002010210100
11356a4a706559
12142243237898
13736488a9283
14366d73dca44
151b0e7e94185
hexe94c766f34

1002010210100 has 72 divisors (see below), whose sum is σ = 2214035688480. Its totient is φ = 393508321920.

The previous prime is 1002010210049. The next prime is 1002010210211. The reversal of 1002010210100 is 10120102001.

It is a super-2 number, since 2×10020102101002 (a number of 25 digits) contains 22 as substring.

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, 4535402 + ... + 4751198.

Almost surely, 21002010210100 is an apocalyptic number.

1002010210100 is a gapful number since it is divisible by the number (10) 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 1002010210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107017844240).

1002010210100 is an abundant number, since it is smaller than the sum of its proper divisors (1212025478380).

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

1002010210100 is a wasteful number, since it uses less digits than its factorization.

1002010210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216657 (or 216650 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1002010210100 its reverse (10120102001), we get a palindrome (1012130312101).

The spelling of 1002010210100 in words is "one trillion, two billion, ten million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 787 1180 1475 1574 2950 3148 3935 5900 7870 15740 19675 39350 46433 78700 92866 185732 215797 232165 431594 464330 863188 928660 1078985 1160825 2157970 2321650 4315940 4643300 5394925 10789850 12732023 21579700 25464046 50928092 63660115 127320230 169832239 254640460 318300575 339664478 636601150 679328956 849161195 1273202300 1698322390 3396644780 4245805975 8491611950 10020102101 16983223900 20040204202 40080408404 50100510505 100201021010 200402042020 250502552525 501005105050 1002010210100