Search a number
-
+
3133233021030 = 2357433371102931
BaseRepresentation
bin101101100110000011001…
…111011100000001100110
3102002112102101201000011120
4231212003033130001212
5402313330123133110
610355215401314410
7442240302151530
oct55460317340146
912075371630146
103133233021030
11aa88843a2412
124272a9495a06
13199602465318
14ab913904850
1556781329870
hex2d9833dc066

3133233021030 has 128 divisors (see below), whose sum is σ = 8796565426176. Its totient is φ = 699298185600.

The previous prime is 3133233021029. The next prime is 3133233021031. The reversal of 3133233021030 is 301203323313.

It is an interprime number because it is at equal distance from previous prime (3133233021029) and next prime (3133233021031).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133233021031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30388665 + ... + 30491595.

It is an arithmetic number, because the mean of its divisors is an integer number (68723167392).

Almost surely, 23133233021030 is an apocalyptic number.

3133233021030 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 3133233021030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398282713088).

3133233021030 is an abundant number, since it is smaller than the sum of its proper divisors (5663332405146).

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

3133233021030 is a wasteful number, since it uses less digits than its factorization.

3133233021030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106362.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 3133233021030 its reverse (301203323313), we get a palindrome (3434436344343).

The spelling of 3133233021030 in words is "three trillion, one hundred thirty-three billion, two hundred thirty-three million, twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 210 215 258 301 430 602 645 903 1290 1505 1806 3010 3371 4515 6742 9030 10113 16855 20226 23597 33710 47194 50565 70791 101130 102931 117985 141582 144953 205862 235970 289906 308793 353955 434859 514655 617586 707910 720517 724765 869718 1014671 1029310 1441034 1449530 1543965 2029342 2161551 2174295 3044013 3087930 3602585 4323102 4348590 4426033 5073355 6088026 7205170 8852066 10146710 10807755 13278099 15220065 21615510 22130165 26556198 30440130 30982231 44260330 61964462 66390495 92946693 132780990 154911155 185893386 309822310 346980401 464733465 693960802 929466930 1040941203 1734902005 2081882406 2428862807 3469804010 4857725614 5204706015 7286588421 10409412030 12144314035 14573176842 14920157243 24288628070 29840314486 36432942105 44760471729 72865884210 74600786215 89520943458 104441100701 149201572430 208882201402 223802358645 313323302103 447604717290 522205503505 626646604206 1044411007010 1566616510515 3133233021030