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2232131301030 = 235735878112141
BaseRepresentation
bin100000011110110101011…
…001001010111010100110
321220101112001211202012210
4200132311121022322212
5243032401103113110
64425232120224250
7320160203002401
oct40366531127246
97811461752183
102232131301030
11790706a23024
1230072830b086
131326486756b7
147a070092d38
153d0e2227520
hex207b564aea6

2232131301030 has 128 divisors (see below), whose sum is σ = 5449002886656. Its totient is φ = 585084902400.

The previous prime is 2232131300999. The next prime is 2232131301041. The reversal of 2232131301030 is 301031312322.

2232131301030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22321313010303 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232131300988 and 2232131301006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1042563760 + ... + 1042565900.

It is an arithmetic number, because the mean of its divisors is an integer number (42570335052).

Almost surely, 22232131301030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232131301030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724501443328).

2232131301030 is an abundant number, since it is smaller than the sum of its proper divisors (3216871585626).

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

2232131301030 is a wasteful number, since it uses less digits than its factorization.

2232131301030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2232131301030 its reverse (301031312322), we get a palindrome (2533162613352).

The spelling of 2232131301030 in words is "two trillion, two hundred thirty-two billion, one hundred thirty-one million, three hundred one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 587 730 811 1095 1174 1622 1761 2141 2190 2433 2935 3522 4055 4282 4866 5870 6423 8110 8805 10705 12165 12846 17610 21410 24330 32115 42851 59203 64230 85702 118406 128553 156293 177609 214255 257106 296015 312586 355218 428510 468879 476057 592030 642765 781465 888045 937758 952114 1256767 1285530 1428171 1562930 1736351 1776090 2344395 2380285 2513534 2856342 3472702 3770301 4688790 4760570 5209053 6283835 7140855 7540602 8681755 10418106 12567670 14281710 17363510 18851505 26045265 34752161 37703010 52090530 69504322 91743991 104256483 126753623 173760805 183487982 208512966 253507246 275231973 347521610 380260869 458719955 521282415 550463946 633768115 760521738 917439910 1019238037 1042564830 1267536230 1376159865 1901304345 2038476074 2752319730 3057714111 3802608690 5096190185 6115428222 10192380370 15288570555 30577141110 74404376701 148808753402 223213130103 372021883505 446426260206 744043767010 1116065650515 2232131301030