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130002233140 = 225132591192979
BaseRepresentation
bin111100100010010111…
…1001010011100110100
3110102120002010200220201
41321010233022130310
54112221032430030
6135415555010244
712251401514653
oct1710457123464
9412502120821
10130002233140
11501519649aa
1221241599984
13c34a4a7110
1464138cb19a
1535ad1552ca
hex1e44bca734

130002233140 has 48 divisors (see below), whose sum is σ = 294120046080. Its totient is φ = 47982049920.

The previous prime is 130002233131. The next prime is 130002233149. The reversal of 130002233140 is 41332200031.

It is an interprime number because it is at equal distance from previous prime (130002233131) and next prime (130002233149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130002233149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577171 + ... + 770149.

It is an arithmetic number, because the mean of its divisors is an integer number (6127500960).

Almost surely, 2130002233140 is an apocalyptic number.

130002233140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130002233140 is an abundant number, since it is smaller than the sum of its proper divisors (164117812940).

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

130002233140 is a wasteful number, since it uses less digits than its factorization.

130002233140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195592 (or 195590 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 130002233140 its reverse (41332200031), we get a palindrome (171334433171).

It can be divided in two parts, 13000 and 2233140, that added together give a triangular number (2246140 = T2119).

The spelling of 130002233140 in words is "one hundred thirty billion, two million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 2591 5182 10364 12955 25910 33683 51820 67366 134732 168415 192979 336830 385958 673660 771916 964895 1929790 2508727 3859580 5017454 10034908 12543635 25087270 50174540 500008589 1000017178 2000034356 2500042945 5000085890 6500111657 10000171780 13000223314 26000446628 32500558285 65001116570 130002233140