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2042033102130 = 235743593381347
BaseRepresentation
bin11101101101110010101…
…010000101110100110010
321020012211210112200021110
4131231302222011310302
5231424040433232010
64202032544134150
7300350324656230
oct35556252056462
97205753480243
102042033102130
117180264a561a
1228b914907356
1311a7418b0c38
1470b99091950
15381b8215120
hex1db72a85d32

2042033102130 has 128 divisors (see below), whose sum is σ = 5740940924928. Its totient is φ = 455125773312.

The previous prime is 2042033102119. The next prime is 2042033102141. The reversal of 2042033102130 is 312013302402.

It is an interprime number because it is at equal distance from previous prime (2042033102119) and next prime (2042033102141).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2042033102097 and 2042033102106.

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, 5164117 + ... + 5545463.

It is an arithmetic number, because the mean of its divisors is an integer number (44851100976).

Almost surely, 22042033102130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042033102130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870470462464).

2042033102130 is an abundant number, since it is smaller than the sum of its proper divisors (3698907822798).

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

2042033102130 is a wasteful number, since it uses less digits than its factorization.

2042033102130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382000.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2042033102130 its reverse (312013302402), we get a palindrome (2354046404532).

The spelling of 2042033102130 in words is "two trillion, forty-two billion, thirty-three million, one hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 210 215 258 301 430 593 602 645 903 1186 1290 1505 1779 1806 2965 3010 3558 4151 4515 5930 8302 8895 9030 12453 17790 20755 24906 25499 41510 50998 62265 76497 124530 127495 152994 178493 254990 356986 381347 382485 535479 762694 764970 892465 1070958 1144041 1784930 1906735 2288082 2669429 2677395 3813470 5338858 5354790 5720205 8008287 11440410 13347145 16016574 16397921 26694290 32795842 40041435 49193763 80082870 81989605 98387526 114785447 163979210 226138771 229570894 245968815 344356341 452277542 491937630 573927235 678416313 688712682 1130693855 1147854470 1356832626 1582971397 1721781705 2261387710 3165942794 3392081565 3443563410 4748914191 6784163130 7914856985 9497828382 9723967153 15829713970 19447934306 23744570955 29171901459 47489141910 48619835765 58343802918 68067770071 97239671530 136135540142 145859507295 204203310213 291719014590 340338850355 408406620426 680677700710 1021016551065 2042033102130