Search a number
-
+
100314033411030 = 23537173599872099
BaseRepresentation
bin10110110011110000101110…
…010100111101001111010110
3111011011221001110120200220220
4112303300232110331033112
5101122021120023123110
6553203344124335210
730062310156116445
oct2663605624751726
9434157043520826
10100314033411030
1129a65a4075192a
12b3016469a4506
1343c875a48115a
141aab321a46d5c
15b8e5e8eb1370
hex5b3c2e53d3d6

100314033411030 has 128 divisors (see below), whose sum is σ = 249105248640000. Its totient is φ = 25833747423744.

The previous prime is 100314033411001. The next prime is 100314033411071. The reversal of 100314033411030 is 30114330413001.

It is a congruent number.

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, 114589921 + ... + 115462019.

It is an arithmetic number, because the mean of its divisors is an integer number (1946134755000).

Almost surely, 2100314033411030 is an apocalyptic number.

100314033411030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100314033411030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124552624320000).

100314033411030 is an abundant number, since it is smaller than the sum of its proper divisors (148791215228970).

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

100314033411030 is a wasteful number, since it uses less digits than its factorization.

100314033411030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872918.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 100314033411030 its reverse (30114330413001), we get a palindrome (130428363824031).

The spelling of 100314033411030 in words is "one hundred trillion, three hundred fourteen billion, thirty-three million, four hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 173 185 222 346 370 519 555 599 865 1038 1110 1198 1730 1797 2595 2995 3594 5190 5990 6401 8985 12802 17970 19203 22163 32005 38406 44326 64010 66489 96015 103627 110815 132978 192030 207254 221630 310881 332445 518135 621762 664890 872099 1036270 1554405 1744198 2616297 3108810 3834199 4360495 5232594 7668398 8720990 11502597 13081485 19170995 23005194 26162970 32267663 38341990 57512985 64535326 96802989 115025970 150873127 161338315 193605978 301746254 322676630 452619381 484014945 522387301 754365635 905238762 968029890 1044774602 1508731270 1567161903 2263096905 2611936505 3134323806 4526193810 5223873010 5582305699 7835809515 11164611398 15671619030 16746917097 19328330137 27911528495 33493834194 38656660274 55823056990 57984990411 83734585485 90373003073 96641650685 115969980822 167469170970 180746006146 193283301370 271119009219 289924952055 451865015365 542238018438 579849904110 903730030730 1355595046095 2711190092190 3343801113701 6687602227402 10031403341103 16719005568505 20062806682206 33438011137010 50157016705515 100314033411030