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2231112332100 = 22352371391314447
BaseRepresentation
bin100000011101111000101…
…010000111001101000100
321220021220001110202121210
4200131320222013031010
5243023304224111400
64424543040211420
7320123020625451
oct40357052071504
97807801422553
102231112332100
11790233823643
123004a3009b70
131325155264c2
1479db4a08828
153d082a4a950
hex20778a87344

2231112332100 has 144 divisors (see below), whose sum is σ = 6630756104448. Its totient is φ = 578801525760.

The previous prime is 2231112332021. The next prime is 2231112332129. The reversal of 2231112332100 is 12332111322.

It is a super-3 number, since 3×22311123321003 (a number of 38 digits) contains 333 as substring.

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, 154427077 + ... + 154441523.

It is an arithmetic number, because the mean of its divisors is an integer number (46046917392).

Almost surely, 22231112332100 is an apocalyptic number.

2231112332100 is a gapful number since it is divisible by the number (20) 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 2231112332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315378052224).

2231112332100 is an abundant number, since it is smaller than the sum of its proper divisors (4399643772348).

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

2231112332100 is a wasteful number, since it uses less digits than its factorization.

2231112332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28414 (or 28407 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2231112332100 its reverse (12332111322), we get a palindrome (2243444443422).

The spelling of 2231112332100 in words is "two trillion, two hundred thirty-one billion, one hundred twelve million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 13913 14447 27826 28894 41739 43341 55652 57788 69565 72235 83478 86682 139130 144470 166956 173364 208695 216705 278260 288940 347825 361175 417390 433410 514781 534539 695650 722350 834780 866820 1029562 1043475 1069078 1083525 1391300 1444700 1544343 1603617 2059124 2086950 2138156 2167050 2573905 2672695 3088686 3207234 4173900 4334100 5147810 5345390 6177372 6414468 7721715 8018085 10295620 10690780 12869525 13363475 15443430 16036170 25739050 26726950 30886860 32072340 38608575 40090425 51478100 53453900 77217150 80180850 154434300 160361700 201001111 402002222 603003333 804004444 1005005555 1206006666 2010011110 2412013332 3015016665 4020022220 5025027775 6030033330 7437041107 10050055550 12060066660 14874082214 15075083325 20100111100 22311123321 29748164428 30150166650 37185205535 44622246642 60300333300 74370411070 89244493284 111555616605 148740822140 185926027675 223111233210 371852055350 446222466420 557778083025 743704110700 1115556166050 2231112332100