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133122000002320 = 24573591186755799
BaseRepresentation
bin11110010001001011100001…
…100001011001110100010000
3122110100100011001210211010101
4132101023201201121310100
5114422032324000033240
61151043222540542144
740016514154652530
oct3621134141316420
9573310131724111
10133122000002320
11394647a55773aa
1212b1bb28551954
135938473747874
1424c31d3c974c0
15105cc1e65639a
hex7912e1859d10

133122000002320 has 160 divisors (see below), whose sum is σ = 354745723392000. Its totient is φ = 45510041538048.

The previous prime is 133122000002293. The next prime is 133122000002323. The reversal of 133122000002320 is 23200000221331.

It is not an unprimeable number, because it can be changed into a prime (133122000002323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2385713781 + ... + 2385769579.

It is an arithmetic number, because the mean of its divisors is an integer number (2217160771200).

Almost surely, 2133122000002320 is an apocalyptic number.

133122000002320 is a gapful number since it is divisible by the number (10) 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 133122000002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177372861696000).

133122000002320 is an abundant number, since it is smaller than the sum of its proper divisors (221623723389680).

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

133122000002320 is a wasteful number, since it uses less digits than its factorization.

133122000002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68045 (or 68039 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 133122000002320 its reverse (23200000221331), we get a palindrome (156322000223651).

The spelling of 133122000002320 in words is "one hundred thirty-three trillion, one hundred twenty-two billion, two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 359 560 718 1436 1795 2513 2872 3590 5026 5744 7180 10052 11867 12565 14360 20104 23734 25130 28720 40208 47468 50260 55799 59335 83069 94936 100520 111598 118670 166138 189872 201040 223196 237340 278995 332276 390593 415345 446392 474680 557990 664552 781186 830690 892784 949360 1115980 1329104 1562372 1661380 1952965 2231960 3124744 3322760 3905930 4260253 4463920 6249488 6645520 7811860 8520506 15623720 17041012 20031841 21301265 29821771 31247440 34082024 40063682 42602530 59643542 68164048 80127364 85205060 100159205 119287084 140222887 149108855 160254728 170410120 200318410 238574168 280445774 298217710 320509456 340820240 400636820 477148336 560891548 596435420 662166733 701114435 801273640 1121783096 1192870840 1324333466 1402228870 1602547280 2243566192 2385741680 2648666932 2804457740 3310833665 4635167131 5297333864 5608915480 6621667330 9270334262 10594667728 11217830960 13243334660 18540668524 23175835655 26486669320 37081337048 46351671310 52973338640 74162674096 92703342620 185406685240 237717857147 370813370480 475435714294 950871428588 1188589285735 1664025000029 1901742857176 2377178571470 3328050000058 3803485714352 4754357142940 6656100000116 8320125000145 9508714285880 13312200000232 16640250000290 19017428571760 26624400000464 33280500000580 66561000001160 133122000002320