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13332220120233 = 337661947112691
BaseRepresentation
bin1100001000000010011000…
…1111101000110010101001
31202012112210100021020211000
43002000212033220302221
53221413341322321413
644204423134425213
72544135562131450
oct302004617506251
952175710236730
1013332220120233
114280187762233
1215b3a59662209
137592b8b06811
143413d63a9b97
15181c05813073
hexc20263e8ca9

13332220120233 has 64 divisors (see below), whose sum is σ = 22631294269440. Its totient is φ = 7598785867200.

The previous prime is 13332220120223. The next prime is 13332220120249. The reversal of 13332220120233 is 33202102223331.

13332220120233 is a `hidden beast` number, since 133 + 322 + 2 + 0 + 1 + 202 + 3 + 3 = 666.

It is not a de Polignac number, because 13332220120233 - 26 = 13332220120169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13332220120197 and 13332220120206.

It is not an unprimeable number, because it can be changed into a prime (13332220120223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118251418 + ... + 118364108.

It is an arithmetic number, because the mean of its divisors is an integer number (353613972960).

Almost surely, 213332220120233 is an apocalyptic number.

It is an amenable number.

13332220120233 is a deficient number, since it is larger than the sum of its proper divisors (9299074149207).

13332220120233 is a wasteful number, since it uses less digits than its factorization.

13332220120233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114315 (or 114309 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13332220120233 its reverse (33202102223331), we get a palindrome (46534322343564).

The spelling of 13332220120233 in words is "thirteen trillion, three hundred thirty-two billion, two hundred twenty million, one hundred twenty thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 189 661 947 1983 2841 4627 5949 6629 8523 13881 17847 19887 25569 41643 59661 112691 124929 178983 338073 625967 788837 1014219 1877901 2366511 3042657 4381769 5633703 7099533 13145307 16901109 21298599 39435921 74488751 106718377 118307763 223466253 320155131 521421257 670398759 747028639 960465393 1564263771 2011196277 2241085917 2881396179 4692791313 6723257751 14078373939 20169773253 70540847197 211622541591 493785930379 634867624773 1481357791137 1904602874319 4444073373411 13332220120233