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132103121322300 = 22352797638986477
BaseRepresentation
bin11110000010010110100111…
…100111101100000100111100
3122022201221020122211002020020
4132002112213213230010330
5114303334143024303200
61144543200334452140
736553064332040202
oct3602264747540474
9568657218732206
10132103121322300
113910168a079817
1212996578064050
13589336a1ab25b
142489b7a457072
15104148a81bea0
hex7825a79ec13c

132103121322300 has 144 divisors (see below), whose sum is σ = 382762261334880. Its totient is φ = 35177385251840.

The previous prime is 132103121322281. The next prime is 132103121322317. The reversal of 132103121322300 is 3223121301231.

132103121322300 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 1527566662 + ... + 1527653138.

It is an arithmetic number, because the mean of its divisors is an integer number (2658071259270).

Almost surely, 2132103121322300 is an apocalyptic number.

132103121322300 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 132103121322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191381130667440).

132103121322300 is an abundant number, since it is smaller than the sum of its proper divisors (250659140012580).

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

132103121322300 is a wasteful number, since it uses less digits than its factorization.

132103121322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93680 (or 93673 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132103121322300 its reverse (3223121301231), we get a palindrome (135326242623531).

The spelling of 132103121322300 in words is "one hundred thirty-two trillion, one hundred three billion, one hundred twenty-one million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 797 1594 2391 3188 3985 4782 6389 7970 9564 11955 12778 15940 19167 19925 23910 25556 31945 38334 39850 47820 59775 63890 76668 79700 86477 95835 119550 127780 159725 172954 191670 239100 259431 319450 345908 383340 432385 479175 518862 638900 864770 958350 1037724 1297155 1729540 1916700 2161925 2594310 4323850 5092033 5188620 6485775 8647700 10184066 12971550 15276099 20368132 25460165 25943100 30552198 50920330 61104396 68922169 76380495 101840660 127300825 137844338 152760990 206766507 254601650 275688676 305521980 344610845 381902475 413533014 509203300 552501553 689221690 763804950 827066028 1033832535 1105003106 1378443380 1527609900 1657504659 1723054225 2067665070 2210006212 2762507765 3315009318 3446108450 4135330140 5169162675 5525015530 6630018636 6892216900 8287523295 10338325350 11050031060 13812538825 16575046590 20676650700 27625077650 33150093180 41437616475 55250155300 82875232950 165750465900 440343737741 880687475482 1321031213223 1761374950964 2201718688705 2642062426446 4403437377410 5284124852892 6605156066115 8806874754820 11008593443525 13210312132230 22017186887050 26420624264460 33025780330575 44034373774100 66051560661150 132103121322300