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1100331123213 = 3717131179131441
BaseRepresentation
bin10000000000110000110…
…110001000001000001101
310220012010222010120101110
4100000300312020020031
5121011434231420323
62201252442402233
7142332142141230
oct20006066101015
93805128116343
101100331123213
11394714262843
12159302800379
137c9b758237a
143b38345d417
151d94eaab793
hex10030d8820d

1100331123213 has 64 divisors (see below), whose sum is σ = 1798883665920. Its totient is φ = 583972147200.

The previous prime is 1100331123181. The next prime is 1100331123251. The reversal of 1100331123213 is 3123211330011.

It is a happy number.

It is not a de Polignac number, because 1100331123213 - 25 = 1100331123181 is a prime.

It is a super-2 number, since 2×11003311232132 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1100331123213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100331113213) 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, 8305573 + ... + 8437013.

It is an arithmetic number, because the mean of its divisors is an integer number (28107557280).

Almost surely, 21100331123213 is an apocalyptic number.

It is an amenable number.

1100331123213 is a deficient number, since it is larger than the sum of its proper divisors (698552542707).

1100331123213 is a wasteful number, since it uses less digits than its factorization.

1100331123213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131778.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1100331123213 its reverse (3123211330011), we get a palindrome (4223542453224).

The spelling of 1100331123213 in words is "one trillion, one hundred billion, three hundred thirty-one million, one hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 7 17 21 51 119 131 179 357 393 537 917 1253 2227 2751 3043 3759 6681 9129 15589 21301 23449 46767 63903 70347 131441 164143 394323 398633 492429 920087 1195899 2234497 2760261 2790431 6703491 8371293 15641479 17218771 23527939 46924437 51656313 70583817 120531397 164695573 292719107 361594191 399974963 494086719 878157321 1199924889 2049033749 2799824741 3082160009 6147101247 8399474223 9246480027 21575120063 52396720153 64725360189 157190160459 366777041071 1100331123213