Search a number
-
+
10010100020 = 225231091811103
BaseRepresentation
bin10010101001010011…
…00000000100110100
3221211121202202202012
421110221200010310
5131000041200040
64333143103352
7503026306034
oct112451400464
927747682665
1010010100020
114277493338
121b34441b58
13c36b1570b
146ad6318c4
153d8c05865
hex254a60134

10010100020 has 96 divisors (see below), whose sum is σ = 22278896640. Its totient is φ = 3770426880.

The previous prime is 10010100019. The next prime is 10010100031. The reversal of 10010100020 is 2000101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 10010099977 and 10010100013.

It is a congruent number.

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, 9074789 + ... + 9075891.

It is an arithmetic number, because the mean of its divisors is an integer number (232071840).

Almost surely, 210010100020 is an apocalyptic number.

10010100020 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 10010100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11139448320).

10010100020 is an abundant number, since it is smaller than the sum of its proper divisors (12268796620).

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

10010100020 is a wasteful number, since it uses less digits than its factorization.

10010100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10010100020 its reverse (2000101001), we get a palindrome (12010201021).

The spelling of 10010100020 in words is "ten billion, ten million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 109 115 181 218 230 362 436 460 545 724 905 1090 1103 1810 2180 2206 2507 3620 4163 4412 5014 5515 8326 10028 11030 12535 16652 19729 20815 22060 25070 25369 39458 41630 50140 50738 78916 83260 98645 101476 120227 126845 197290 199643 240454 253690 394580 399286 453767 480908 507380 601135 798572 907534 998215 1202270 1815068 1996430 2268835 2404540 2765221 3992860 4537670 4591789 5530442 9075340 9183578 11060884 13826105 18367156 21761087 22958945 27652210 43522174 45917890 55304420 87044348 91835780 108805435 217610870 435221740 500505001 1001010002 2002020004 2502525005 5005050010 10010100020