Search a number
-
+
332101100130 = 235196123340993
BaseRepresentation
bin1001101010100101100…
…01001010001001100010
31011202012200210212122120
410311102301022021202
520420120340201010
6412322023045110
732664526526502
oct4652261121142
91152180725576
10332101100130
1111893045aa18
1254443ba0796
13254175a8507
1412106641a02
15898a9bae70
hex4d52c4a262

332101100130 has 128 divisors (see below), whose sum is σ = 856426970880. Its totient is φ = 82167644160.

The previous prime is 332101100039. The next prime is 332101100143. The reversal of 332101100130 is 31001101233.

It is a super-2 number, since 2×3321011001302 (a number of 24 digits) contains 22 as substring.

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, 8080914 + ... + 8121906.

It is an arithmetic number, because the mean of its divisors is an integer number (6690835710).

Almost surely, 2332101100130 is an apocalyptic number.

332101100130 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 332101100130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428213485440).

332101100130 is an abundant number, since it is smaller than the sum of its proper divisors (524325870750).

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

332101100130 is a wasteful number, since it uses less digits than its factorization.

332101100130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41316.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 332101100130 its reverse (31001101233), we get a palindrome (363102201363).

The spelling of 332101100130 in words is "three hundred thirty-two billion, one hundred one million, one hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 61 95 114 122 183 190 233 285 305 366 466 570 610 699 915 1159 1165 1398 1830 2318 2330 3477 3495 4427 5795 6954 6990 8854 11590 13281 14213 17385 22135 26562 28426 34770 40993 42639 44270 66405 71065 81986 85278 122979 132810 142130 204965 213195 245958 270047 409930 426390 540094 614895 778867 810141 1229790 1350235 1557734 1620282 2336601 2500573 2700470 3894335 4050705 4673202 5001146 7501719 7788670 8101410 9551369 11683005 12502865 15003438 19102738 23366010 25005730 28654107 37508595 47510887 47756845 57308214 75017190 95021774 95513690 142532661 143270535 181476011 237554435 285065322 286541070 362952022 475108870 544428033 582633509 712663305 907380055 1088856066 1165267018 1425326610 1747900527 1814760110 2722140165 2913167545 3495801054 5444280330 5826335090 8739502635 11070036671 17479005270 22140073342 33210110013 55350183355 66420220026 110700366710 166050550065 332101100130