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2231121202332 = 22311373049149827
BaseRepresentation
bin100000011101111001001…
…011111100110010011100
321220021220200011102021220
4200131321023330302130
5243023314011433312
64424543554253340
7320123156211261
oct40357113746234
97807820142256
102231121202332
11790238831a10
123004a5b87250
13132517310a69
1479db5c77268
153d0836edc8c
hex207792fcc9c

2231121202332 has 96 divisors (see below), whose sum is σ = 5834661907200. Its totient is φ = 657604293120.

The previous prime is 2231121202307. The next prime is 2231121202363. The reversal of 2231121202332 is 2332021211322.

It is a super-3 number, since 3×22311212023323 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14816403 + ... + 14966229.

It is an arithmetic number, because the mean of its divisors is an integer number (60777728200).

Almost surely, 22231121202332 is an apocalyptic number.

2231121202332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231121202332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917330953600).

2231121202332 is an abundant number, since it is smaller than the sum of its proper divisors (3603540704868).

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

2231121202332 is a wasteful number, since it uses less digits than its factorization.

2231121202332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152931 (or 152929 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2231121202332 its reverse (2332021211322), we get a palindrome (4563142413654).

The spelling of 2231121202332 in words is "two trillion, two hundred thirty-one billion, one hundred twenty-one million, two hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 3049 4884 6098 9147 12196 18294 33539 36588 67078 100617 112813 134156 149827 201234 225626 299654 338439 402468 449481 451252 599308 676878 898962 1240943 1353756 1648097 1797924 2481886 3296194 3722829 4944291 4963772 5543599 6592388 7445658 9888582 11087198 14891316 16630797 19777164 22174396 33261594 60979589 66523188 121959178 182938767 243918356 365877534 456822523 731755068 913645046 1370467569 1827290092 2740935138 5025047753 5481870276 10050095506 15075143259 16902433351 20100191012 30150286518 33804866702 50707300053 60300573036 67609733404 101414600106 185926766861 202829200212 371853533722 557780300583 743707067444 1115560601166 2231121202332