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132122010011300 = 225229734783130483
BaseRepresentation
bin11110000010101000001101…
…011110010100011010100100
3122022210202000001012220101022
4132002220031132110122210
5114304141334030330200
61145000002524550312
736554333401201301
oct3602501536243244
9568722001186338
10132122010011300
11391096a22683a1
121299a1699b2398
13589508a5749ca
14248aa4ccd80a8
151041be3c1a885
hex782a0d7946a4

132122010011300 has 144 divisors (see below), whose sum is σ = 300719188573440. Its totient is φ = 50316531471360.

The previous prime is 132122010011293. The next prime is 132122010011339. The reversal of 132122010011300 is 3110010221231.

It is a super-2 number, since 2×1321220100113002 (a number of 29 digits) contains 22 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, 1012495859 + ... + 1012626341.

Almost surely, 2132122010011300 is an apocalyptic number.

132122010011300 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 132122010011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150359594286720).

132122010011300 is an abundant number, since it is smaller than the sum of its proper divisors (168597178562140).

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

132122010011300 is a wasteful number, since it uses less digits than its factorization.

132122010011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135382 (or 135375 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 132122010011300 its reverse (3110010221231), we get a palindrome (135232020232531).

The spelling of 132122010011300 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, ten million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 73 100 116 145 146 290 292 365 580 725 730 1450 1460 1825 2117 2900 3650 4234 4783 7300 8468 9566 10585 19132 21170 23915 42340 47830 52925 95660 105850 119575 130483 138707 211700 239150 260966 277414 349159 478300 521932 554828 652415 693535 698318 1304830 1387070 1396636 1745795 2609660 2774140 3262075 3467675 3491590 3784007 6524150 6935350 6983180 7568014 8728975 9525259 10125611 13048300 13870700 15136028 17457950 18920035 19050518 20251222 34915900 37840070 38101036 40502444 47626295 50628055 75680140 94600175 95252590 101256110 189200350 190505180 202512220 238131475 253140275 276232511 378400700 476262950 506280550 552465022 624100189 952525900 1012561100 1104930044 1248200378 1381162555 2496400756 2762325110 3120500945 5524650220 6241001890 6905812775 12482003780 13811625550 15602504725 18098905481 27623251100 31205009450 36197810962 45559313797 62410018900 72395621924 90494527405 91118627594 180989054810 182237255188 227796568985 361978109620 452472637025 455593137970 904945274050 911186275940 1138982844925 1321220100113 1809890548100 2277965689850 2642440200226 4555931379700 5284880400452 6606100500565 13212201001130 26424402002260 33030502502825 66061005005650 132122010011300