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130010212020 = 223513511932561
BaseRepresentation
bin111100100010100110…
…1100110011010110100
3110102120122011001212210
41321011031212122310
54112230103241040
6135420442013420
712251526366003
oct1710515463264
9412518131783
10130010212020
1150156414617
12212441a7270
13c34c03ba50
1464149a6c3a
1535adbce480
hex1e453666b4

130010212020 has 96 divisors (see below), whose sum is σ = 392119418880. Its totient is φ = 31995279360.

The previous prime is 130010211791. The next prime is 130010212049. The reversal of 130010212020 is 20212010031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130010211987 and 130010212005.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3976540 + ... + 4009100.

It is an arithmetic number, because the mean of its divisors is an integer number (4084577280).

Almost surely, 2130010212020 is an apocalyptic number.

130010212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130010212020 is an abundant number, since it is smaller than the sum of its proper divisors (262109206860).

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

130010212020 is a wasteful number, since it uses less digits than its factorization.

130010212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37705 (or 37703 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 130010212020 its reverse (20212010031), we get a palindrome (150222222051).

The spelling of 130010212020 in words is "one hundred thirty billion, ten million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 5119 10238 15357 20476 25595 30714 32561 51190 61428 65122 66547 76785 97683 102380 130244 133094 153570 162805 195366 199641 266188 307140 325610 332735 390732 399282 423293 488415 651220 665470 798564 846586 976830 998205 1269879 1330940 1693172 1953660 1996410 2116465 2539758 3992820 4232930 5079516 6349395 8465860 12698790 25397580 166679759 333359518 500039277 666719036 833398795 1000078554 1666797590 2000157108 2166836867 2500196385 3333595180 4333673734 5000392770 6500510601 8667347468 10000785540 10834184335 13001021202 21668368670 26002042404 32502553005 43336737340 65005106010 130010212020