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130216701560 = 235112331415073
BaseRepresentation
bin111100101000110000…
…1010010111001111000
3110110010000200211021112
41321101201102321320
54113140433422220
6135453135455452
712256614462221
oct1712141227170
9413100624245
10130216701560
1150251a2a230
12212a1387588
13c382a58aca
146434198248
1535c1dbb5c5
hex1e51852e78

130216701560 has 128 divisors (see below), whose sum is σ = 344278978560. Its totient is φ = 43831603200.

The previous prime is 130216701557. The next prime is 130216701649. The reversal of 130216701560 is 65107612031.

It is a super-2 number, since 2×1302167015602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 106184 + ... + 521256.

It is an arithmetic number, because the mean of its divisors is an integer number (2689679520).

Almost surely, 2130216701560 is an apocalyptic number.

130216701560 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 130216701560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172139489280).

130216701560 is an abundant number, since it is smaller than the sum of its proper divisors (214062277000).

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

130216701560 is a wasteful number, since it uses less digits than its factorization.

130216701560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415149 (or 415145 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 130216701560 in words is "one hundred thirty billion, two hundred sixteen million, seven hundred one thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 23 31 40 44 46 55 62 88 92 110 115 124 155 184 220 230 248 253 310 341 440 460 506 620 682 713 920 1012 1240 1265 1364 1426 1705 2024 2530 2728 2852 3410 3565 5060 5704 6820 7130 7843 10120 13640 14260 15686 28520 31372 39215 62744 78430 156860 313720 415073 830146 1660292 2075365 3320584 4150730 4565803 8301460 9131606 9546679 12867263 16602920 18263212 19093358 22829015 25734526 36526424 38186716 45658030 47733395 51469052 64336315 76373432 91316060 95466790 102938104 105013469 128672630 141539893 182632120 190933580 210026938 257345260 283079786 295947049 381867160 420053876 514690520 525067345 566159572 591894098 707699465 840107752 1050134690 1132319144 1183788196 1415398930 1479735245 2100269380 2367576392 2830797860 2959470490 3255417539 4200538760 5661595720 5918940980 6510835078 11837881960 13021670156 16277087695 26043340312 32554175390 65108350780 130216701560