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2131133301100 = 225279463582643
BaseRepresentation
bin11111000000110001011…
…100011000000101101100
321112201211100021202102201
4133000301130120011230
5234404030111113400
64311010142431244
7306653320113166
oct37006134300554
97481740252381
102131133301100
1175189920a8a1
122a5040292524
13125c7117926b
147520c685936
153a6805a406a
hex1f03171816c

2131133301100 has 72 divisors (see below), whose sum is σ = 4693220725760. Its totient is φ = 839843484480.

The previous prime is 2131133301043. The next prime is 2131133301109. The reversal of 2131133301100 is 11033311312.

It is a super-2 number, since 2×21311333011002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2131133301109) 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, 3366379 + ... + 3949021.

Almost surely, 22131133301100 is an apocalyptic number.

2131133301100 is a gapful number since it is divisible by the number (20) 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 2131133301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346610362880).

2131133301100 is an abundant number, since it is smaller than the sum of its proper divisors (2562087424660).

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

2131133301100 is a wasteful number, since it uses less digits than its factorization.

2131133301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583199 (or 583192 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 2131133301100 its reverse (11033311312), we get a palindrome (2142166612412).

The spelling of 2131133301100 in words is "two trillion, one hundred thirty-one billion, one hundred thirty-three million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 463 790 926 1580 1852 1975 2315 3950 4630 7900 9260 11575 23150 36577 46300 73154 146308 182885 365770 582643 731540 914425 1165286 1828850 2330572 2913215 3657700 5826430 11652860 14566075 29132150 46028797 58264300 92057594 184115188 230143985 269763709 460287970 539527418 920575940 1079054836 1150719925 1348818545 2301439850 2697637090 4602879700 5395274180 6744092725 13488185450 21311333011 26976370900 42622666022 85245332044 106556665055 213113330110 426226660220 532783325275 1065566650550 2131133301100