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11029211029224 = 2332612511204697
BaseRepresentation
bin1010000001111111000000…
…1101001001111011101000
31110001101022200100201020200
42200133300031021323220
52421200311010413344
635242425525152200
72215556062632663
oct240376015117350
943041280321220
1011029211029224
11357250a105583
1212a165055b660
136200861c842b
142a1b60cc66da
15141d65dd9069
hexa07f0349ee8

11029211029224 has 48 divisors (see below), whose sum is σ = 30360464798820. Its totient is φ = 3616134762240.

The previous prime is 11029211029223. The next prime is 11029211029267. The reversal of 11029211029224 is 42292011292011.

11029211029224 is a `hidden beast` number, since 1 + 10 + 292 + 110 + 29 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10970735084100 + 58475945124 = 3312210^2 + 241818^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11029211029223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1255597957 + ... + 1255606740.

Almost surely, 211029211029224 is an apocalyptic number.

It is an amenable number.

11029211029224 is an abundant number, since it is smaller than the sum of its proper divisors (19331253769596).

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

11029211029224 is a wasteful number, since it uses less digits than its factorization.

11029211029224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511204770 (or 2511204763 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11029211029224 in words is "eleven trillion, twenty-nine billion, two hundred eleven million, twenty-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 2511204697 5022409394 7533614091 10044818788 15067228182 20089637576 22600842273 30134456364 45201684546 60268912728 90403369092 153183486517 180806738184 306366973034 459550459551 612733946068 919100919102 1225467892136 1378651378653 1838201838204 2757302757306 3676403676408 5514605514612 11029211029224