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4000322130 = 2357195916993
BaseRepresentation
bin1110111001110000…
…0001001001010010
3101022210022102022220
43232130001021102
531143040302010
61500540441510
7201063114510
oct35634011122
911283272286
104000322130
111773094252
12937849296
134b9a0521c
1429d3d94b0
151862da970
hexee701252

4000322130 has 128 divisors (see below), whose sum is σ = 11746252800. Its totient is φ = 851503104.

The previous prime is 4000322113. The next prime is 4000322141. The reversal of 4000322130 is 312230004.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 226914 + ... + 243906.

It is an arithmetic number, because the mean of its divisors is an integer number (91767600).

Almost surely, 24000322130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000322130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5873126400).

4000322130 is an abundant number, since it is smaller than the sum of its proper divisors (7745930670).

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

4000322130 is a wasteful number, since it uses less digits than its factorization.

4000322130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17088.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4000322130 is about 63248.0998133541. The cubic root of 4000322130 is about 1587.4436632828.

Adding to 4000322130 its reverse (312230004), we get a palindrome (4312552134).

The spelling of 4000322130 in words is "four billion, three hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 59 70 95 105 114 118 133 177 190 210 266 285 295 354 399 413 570 590 665 798 826 885 1121 1239 1330 1770 1995 2065 2242 2478 3363 3990 4130 5605 6195 6726 7847 11210 12390 15694 16815 16993 23541 33630 33986 39235 47082 50979 78470 84965 101958 117705 118951 169930 235410 237902 254895 322867 356853 509790 594755 645734 713706 968601 1002587 1189510 1614335 1784265 1937202 2005174 2260069 3007761 3228670 3568530 4520138 4843005 5012935 6015522 6780207 7018109 9686010 10025870 11300345 13560414 14036218 15038805 19049153 21054327 22600690 30077610 33901035 35090545 38098306 42108654 57147459 67802070 70181090 95245765 105271635 114294918 133344071 190491530 210543270 266688142 285737295 400032213 571474590 666720355 800064426 1333440710 2000161065 4000322130