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2133221121300 = 22352371193916097
BaseRepresentation
bin11111000010101101111…
…000110001110100010100
321112221012211220000022210
4133002231320301310110
5234422314101340200
64311553243553420
7310056131231433
oct37025570616424
97487184800283
102133221121300
1175276a78a035
122a552352b870
13126214891329
1475369a8111a
153a753a12650
hex1f0ade31d14

2133221121300 has 144 divisors (see below), whose sum is σ = 6339858598080. Its totient is φ = 553403658240.

The previous prime is 2133221121287. The next prime is 2133221121347. The reversal of 2133221121300 is 31211223312.

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, 132514852 + ... + 132530948.

It is an arithmetic number, because the mean of its divisors is an integer number (44026795820).

Almost surely, 22133221121300 is an apocalyptic number.

2133221121300 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 2133221121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169929299040).

2133221121300 is an abundant number, since it is smaller than the sum of its proper divisors (4206637476780).

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

2133221121300 is a wasteful number, since it uses less digits than its factorization.

2133221121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28090 (or 28083 counting only the distinct ones).

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

Adding to 2133221121300 its reverse (31211223312), we get a palindrome (2164432344612).

The spelling of 2133221121300 in words is "two trillion, one hundred thirty-three billion, two hundred twenty-one million, one hundred twenty-one thousand, three 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 11939 16097 23878 32194 35817 47756 48291 59695 64388 71634 80485 96582 119390 143268 160970 179085 193164 238780 241455 298475 321940 358170 402425 441743 482910 595589 596950 716340 804850 883486 895425 965820 1191178 1193900 1207275 1325229 1609700 1766972 1786767 1790850 2208715 2382356 2414550 2650458 2977945 3573534 3581700 4417430 4829100 5300916 5955890 6626145 7147068 8834860 8933835 11043575 11911780 13252290 14889725 17867670 22087150 26504580 29779450 33130725 35735340 44174300 44669175 59558900 66261450 89338350 132522900 178676700 192182083 384364166 576546249 768728332 960910415 1153092498 1921820830 2306184996 2882731245 3843641660 4804552075 5765462490 7110737071 9609104150 11530924980 14221474142 14413656225 19218208300 21332211213 28442948284 28827312450 35553685355 42664422426 57654624900 71107370710 85328844852 106661056065 142214741420 177768426775 213322112130 355536853550 426644224260 533305280325 711073707100 1066610560650 2133221121300