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321012032130 = 232561558110477
BaseRepresentation
bin1001010101111011100…
…11101110001010000010
31010200120212202212002100
410222331303232022002
520224413040012010
6403245413531230
732122656152256
oct4527563561202
91120525685070
10321012032130
1111415aa18009
125226a343b16
132436b09720a
14117739c8266
15853c1d62c0
hex4abdcee282

321012032130 has 96 divisors (see below), whose sum is σ = 848546747568. Its totient is φ = 84176755200.

The previous prime is 321012032057. The next prime is 321012032179. The reversal of 321012032130 is 31230210123.

321012032130 is a `hidden beast` number, since 321 + 0 + 1 + 20 + 321 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 61587852561 + 259424179569 = 248169^2 + 509337^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30634452 + ... + 30644928.

Almost surely, 2321012032130 is an apocalyptic number.

321012032130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 321012032130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424273373784).

321012032130 is an abundant number, since it is smaller than the sum of its proper divisors (527534715438).

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

321012032130 is a wasteful number, since it uses less digits than its factorization.

321012032130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16132 (or 16129 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 321012032130 its reverse (31230210123), we get a palindrome (352242242253).

The spelling of 321012032130 in words is "three hundred twenty-one billion, twelve million, thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 5581 10477 11162 16743 20954 27905 31431 33486 50229 52385 55810 62862 83715 94293 100458 104770 157155 167430 188586 251145 314310 340441 471465 502290 639097 680882 942930 1021323 1278194 1702205 1917291 2042646 3063969 3195485 3404410 3834582 5106615 5751873 6127938 6390970 9586455 10213230 11503746 15319845 19172910 28759365 30639690 57518730 58472137 116944274 175416411 292360685 350832822 526249233 584721370 877082055 1052498466 1754164110 2631246165 3566800357 5262492330 7133600714 10700401071 17834001785 21400802142 32101203213 35668003570 53502005355 64202406426 107004010710 160506016065 321012032130