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130220212224 = 21434196323
BaseRepresentation
bin111100101000110111…
…0101100000000000000
3110110010021022012000010
41321101232230000000
54113142333242344
6135453343024520
712256656353334
oct1712156540000
9413107265003
10130220212224
1150253a07903
12212a259b140
13c3836b7a1b
14643482d7c4
1535c23618b9
hex1e51bac000

130220212224 has 120 divisors (see below), whose sum is σ = 348127093440. Its totient is φ = 43296292864.

The previous prime is 130220212207. The next prime is 130220212229. The reversal of 130220212224 is 422212022031.

It is a self number, because there is not a number n which added to its sum of digits gives 130220212224.

It is not an unprimeable number, because it can be changed into a prime (130220212229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20591527 + ... + 20597849.

It is an arithmetic number, because the mean of its divisors is an integer number (2901059112).

Almost surely, 2130220212224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130220212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174063546720).

130220212224 is an abundant number, since it is smaller than the sum of its proper divisors (217906881216).

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

130220212224 is an frugal number, since it uses more digits than its factorization.

130220212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6773 (or 6747 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 130220212224 its reverse (422212022031), we get a palindrome (552432234255).

The spelling of 130220212224 in words is "one hundred thirty billion, two hundred twenty million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 419 512 768 838 1024 1257 1536 1676 2048 2514 3072 3352 4096 5028 6144 6323 6704 8192 10056 12288 12646 13408 16384 18969 20112 24576 25292 26816 37938 40224 49152 50584 53632 75876 80448 101168 107264 151752 160896 202336 214528 303504 321792 404672 429056 607008 643584 809344 858112 1214016 1287168 1618688 1716224 2428032 2574336 2649337 3237376 3432448 4856064 5148672 5298674 6474752 6864896 7948011 9712128 10297344 10597348 12949504 15896022 19424256 20594688 21194696 25899008 31792044 38848512 42389392 51798016 63584088 77697024 84778784 103596032 127168176 155394048 169557568 254336352 310788096 339115136 508672704 678230272 1017345408 1356460544 2034690816 2712921088 4069381632 5425842176 8138763264 10851684352 16277526528 21703368704 32555053056 43406737408 65110106112 130220212224