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42133232130 = 23511214977899
BaseRepresentation
bin100111001111010101…
…100001101000000010
311000202100002221211220
4213033111201220002
51142242101412010
631204501215510
73021046364313
oct471725415002
9130670087756
1042133232130
1116961124a00
1281ba401596
133c860075b2
142079a2860a
151168e15970
hex9cf561a02

42133232130 has 96 divisors (see below), whose sum is σ = 111895560000. Its totient is φ = 10145435520.

The previous prime is 42133232129. The next prime is 42133232131. The reversal of 42133232130 is 3123233124.

It is an interprime number because it is at equal distance from previous prime (42133232129) and next prime (42133232131).

It is a self number, because there is not a number n which added to its sum of digits gives 42133232130.

It is not an unprimeable number, because it can be changed into a prime (42133232131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501921 + ... + 579819.

It is an arithmetic number, because the mean of its divisors is an integer number (1165578750).

Almost surely, 242133232130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42133232130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55947780000).

42133232130 is an abundant number, since it is smaller than the sum of its proper divisors (69762327870).

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

42133232130 is a wasteful number, since it uses less digits than its factorization.

42133232130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78080 (or 78069 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 42133232130 its reverse (3123233124), we get a palindrome (45256465254).

The spelling of 42133232130 in words is "forty-two billion, one hundred thirty-three million, two hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 149 165 242 298 330 363 447 605 726 745 894 1210 1490 1639 1815 2235 3278 3630 4470 4917 8195 9834 16390 18029 24585 36058 49170 54087 77899 90145 108174 155798 180290 233697 270435 389495 467394 540870 778990 856889 1168485 1713778 2336970 2570667 4284445 5141334 8568890 9425779 11606951 12853335 18851558 23213902 25706670 28277337 34820853 47128895 56554674 58034755 69641706 94257790 116069510 127676461 141386685 174104265 255352922 282773370 348208530 383029383 638382305 766058766 1276764610 1404441071 1915146915 2808882142 3830293830 4213323213 7022205355 8426646426 14044410710 21066616065 42133232130