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133042112223400 = 235213723320839277
BaseRepresentation
bin11110010000000001000111…
…110101101101100010101000
3122110001200221112212011111201
4132100001013311231202220
5114414230221212122100
61150542411432333544
740010655365023222
oct3620010765554250
9573050845764451
10133042112223400
113943392aa49716
1212b085522442b4
135930a81945073
1424bd3b5db1412
15105aae5e5336a
hex790047d6d8a8

133042112223400 has 96 divisors (see below), whose sum is σ = 312918013806840. Its totient is φ = 52601666908160.

The previous prime is 133042112223373. The next prime is 133042112223413. The reversal of 133042112223400 is 4322211240331.

It can be written as a sum of positive squares in 12 ways, for example, as 10428081396516 + 122614030826884 = 3229254^2 + 11073122^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4035439 + ... + 16803838.

Almost surely, 2133042112223400 is an apocalyptic number.

133042112223400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133042112223400 is an abundant number, since it is smaller than the sum of its proper divisors (179875901583440).

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

133042112223400 is a wasteful number, since it uses less digits than its factorization.

133042112223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20839663 (or 20839654 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 133042112223400 its reverse (4322211240331), we get a palindrome (137364323463731).

It can be divided in two parts, 1330421 and 12223400, that added together give a triangular number (13553821 = T5206).

The spelling of 133042112223400 in words is "one hundred thirty-three trillion, forty-two billion, one hundred twelve million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 233 274 466 548 685 932 1096 1165 1370 1864 2330 2740 3425 4660 5480 5825 6850 9320 11650 13700 23300 27400 31921 46600 63842 127684 159605 255368 319210 638420 798025 1276840 1596050 3192100 6384200 20839277 41678554 83357108 104196385 166714216 208392770 416785540 520981925 833571080 1041963850 2083927700 2854980949 4167855400 4855551541 5709961898 9711103082 11419923796 14274904745 19422206164 22839847592 24277757705 28549809490 38844412328 48555515410 57099618980 71374523725 97111030820 114199237960 121388788525 142749047450 194222061640 242777577050 285498094900 485555154100 570996189800 665210561117 971110308200 1330421122234 2660842244468 3326052805585 5321684488936 6652105611170 13304211222340 16630264027925 26608422444680 33260528055850 66521056111700 133042112223400