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130211020310020 = 225132638872146817
BaseRepresentation
bin11101100110110100011101…
…100111001000011000000100
3122002001001101212221201121121
4131212310131213020120010
5114031334132144410040
61140534041131323324
736266302316561266
oct3546643547103004
9562031355851547
10130211020310020
1138542202409461
121272b9272b0544
135786b00a90260
142422365b19b36
15100c14a26ec4a
hex766d1d9c8604

130211020310020 has 96 divisors (see below), whose sum is σ = 295930308377088. Its totient is φ = 47841090404352.

The previous prime is 130211020310011. The next prime is 130211020310123. The reversal of 130211020310020 is 20013020112031.

It is a junction number, because it is equal to n+sod(n) for n = 130211020309976 and 130211020310003.

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, 59579652 + ... + 61726468.

It is an arithmetic number, because the mean of its divisors is an integer number (3082607378928).

Almost surely, 2130211020310020 is an apocalyptic number.

130211020310020 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 130211020310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147965154188544).

130211020310020 is an abundant number, since it is smaller than the sum of its proper divisors (165719288067068).

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

130211020310020 is a wasteful number, since it uses less digits than its factorization.

130211020310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147989 (or 2147987 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 130211020310020 its reverse (20013020112031), we get a palindrome (150224040422051).

The spelling of 130211020310020 in words is "one hundred thirty trillion, two hundred eleven billion, twenty million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 263 526 887 1052 1315 1774 2630 3419 3548 4435 5260 6838 8870 11531 13676 17095 17740 23062 34190 46124 57655 68380 115310 230620 233281 466562 933124 1166405 2146817 2332810 3032653 4293634 4665620 6065306 8587268 10734085 12130612 15163265 21468170 27908621 30326530 42936340 55817242 60653060 111634484 139543105 279086210 558172420 564612871 1129225742 1904226679 2258451484 2823064355 3808453358 5646128710 7339967323 7616906716 9521133395 11292257420 14679934646 19042266790 24754946827 29359869292 36699836615 38084533580 49509893654 73399673230 99019787308 123774734135 146799346460 247549468270 495098936540 500811616577 1001623233154 2003246466308 2504058082885 5008116165770 6510551015501 10016232331540 13021102031002 26042204062004 32552755077505 65105510155010 130211020310020