Search a number
-
+
10333011141102 = 23132131396719609
BaseRepresentation
bin1001011001011101011101…
…1101010110000111101110
31100120211022022110000000010
42112113113131112013232
52323244001323003402
633550530401314050
72114351435342556
oct226272735260756
940524268400003
1010333011141102
113324229454211
1211aa734635926
1359c525134800
1427a198582166
1512dbba770a6c
hex965d77561ee

10333011141102 has 96 divisors (see below), whose sum is σ = 22555659202560. Its totient is φ = 3154161703680.

The previous prime is 10333011141071. The next prime is 10333011141143. The reversal of 10333011141102 is 20114111033301.

It is a super-2 number, since 2×103330111411022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526942674 + ... + 526962282.

It is an arithmetic number, because the mean of its divisors is an integer number (234954783360).

Almost surely, 210333011141102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10333011141102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11277829601280).

10333011141102 is an abundant number, since it is smaller than the sum of its proper divisors (12222648061458).

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

10333011141102 is a wasteful number, since it uses less digits than its factorization.

10333011141102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23738 (or 23725 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10333011141102 its reverse (20114111033301), we get a palindrome (30447122174403).

The spelling of 10333011141102 in words is "ten trillion, three hundred thirty-three billion, eleven million, one hundred forty-one thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 78 131 169 262 338 393 507 786 1014 1703 3406 3967 5109 7934 10218 11901 19609 22139 23802 39218 44278 51571 58827 66417 103142 117654 132834 154713 254917 309426 509834 519677 670423 764751 1039354 1340846 1529502 1559031 2011269 2568779 3118062 3313921 4022538 5137558 6627842 6755801 7706337 9941763 13511602 15412674 19883526 20267403 33394127 40534806 66788254 77788903 87825413 100182381 155577806 175650826 200364762 233366709 263476239 434123651 466733418 526952478 868247302 1011255739 1302370953 2022511478 2604741906 3033767217 6067534434 10190346293 13146324607 20380692586 26292649214 30571038879 39438973821 61142077758 78877947642 132474501809 264949003618 397423505427 794847010854 1722168523517 3444337047034 5166505570551 10333011141102