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133222223031400 = 23526171778960689
BaseRepresentation
bin11110010010101000110111…
…010001111010110001101000
3122110200220211210010012202101
4132102220313101322301220
5114430203103044001100
61151201235552143144
740026662610441556
oct3622506721726150
9573626753105671
10133222223031400
11394a3255894558
1212b37438b37ab4
135944a56515679
1424c7dc07b2bd6
15106063824886a
hex792a3747ac68

133222223031400 has 96 divisors (see below), whose sum is σ = 310266233487000. Its totient is φ = 53198654136320.

The previous prime is 133222223031371. The next prime is 133222223031449. The reversal of 133222223031400 is 4130322222331.

133222223031400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 13440186559396 + 119782036472004 = 3666086^2 + 10944498^2 .

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, 2195132256 + ... + 2195192944.

Almost surely, 2133222223031400 is an apocalyptic number.

133222223031400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133222223031400 is an abundant number, since it is smaller than the sum of its proper divisors (177044010455600).

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

133222223031400 is a wasteful number, since it uses less digits than its factorization.

133222223031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79111 (or 79102 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 133222223031400 its reverse (4130322222331), we get a palindrome (137352545253731).

The spelling of 133222223031400 in words is "one hundred thirty-three trillion, two hundred twenty-two billion, two hundred twenty-three million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 617 1234 2468 3085 4936 6170 12340 15425 17789 24680 30850 35578 60689 61700 71156 88945 121378 123400 142312 177890 242756 303445 355780 444725 485512 606890 711560 889450 1213780 1517225 1778900 2427560 3034450 3557800 6068900 10975813 12137800 21951626 37445113 43903252 54879065 74890226 87806504 109758130 149780452 187225565 219516260 274395325 299560904 374451130 439032520 548790650 748902260 936127825 1079596621 1097581300 1497804520 1872255650 2159193242 2195162600 3744511300 4318386484 5397983105 7489022600 8636772968 10795966210 21591932420 26989915525 43183864840 53979831050 107959662100 215919324200 666111115157 1332222230314 2664444460628 3330555575785 5328888921256 6661111151570 13322222303140 16652777878925 26644444606280 33305555757850 66611111515700 133222223031400