Search a number
-
+
10021021112120 = 235536916840661
BaseRepresentation
bin1001000111010011001101…
…1001110101011100111000
31022111000000012011101120112
42101310303121311130320
52303141022401041440
633151332112243452
72052665150012414
oct221646331653470
938430005141515
1010021021112120
113213989196757
12115a183840588
13578c942529c5
1426903cc99d44
15125a0a660965
hex91d33675738

10021021112120 has 64 divisors (see below), whose sum is σ = 23005967185440. Its totient is φ = 3927086092800.

The previous prime is 10021021112107. The next prime is 10021021112129. The reversal of 10021021112120 is 2121112012001.

It is a super-2 number, since 2×100210211121202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10021021112095 and 10021021112104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021021112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1955411 + ... + 4885250.

Almost surely, 210021021112120 is an apocalyptic number.

10021021112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021021112120 is an abundant number, since it is smaller than the sum of its proper divisors (12984946073320).

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

10021021112120 is a wasteful number, since it uses less digits than its factorization.

10021021112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6841416 (or 6841412 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10021021112120 its reverse (2121112012001), we get a palindrome (12142133124121).

The spelling of 10021021112120 in words is "ten trillion, twenty-one billion, twenty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 691 1060 1382 2120 2764 3455 5528 6910 13820 27640 36623 73246 146492 183115 292984 366230 732460 1464920 6840661 13681322 27362644 34203305 54725288 68406610 136813220 273626440 362555033 725110066 1450220132 1812775165 2900440264 3625550330 4726896751 7251100660 9453793502 14502201320 18907587004 23634483755 37815174008 47268967510 94537935020 189075870040 250525527803 501051055606 1002102111212 1252627639015 2004204222424 2505255278030 5010510556060 10021021112120