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34211102112 = 2533113599653
BaseRepresentation
bin11111110111001000…
…111111110110100000
310021022020020001111000
4133313020333312200
51030031020231422
623414422352000
72320532366325
oct376710776640
9107266201430
1034211102112
1113566303410
12676928b600
1332c295a1b5
141927830b4c
15d5369ccac
hex7f723fda0

34211102112 has 96 divisors (see below), whose sum is σ = 108853536960. Its totient is φ = 10366997760.

The previous prime is 34211102027. The next prime is 34211102119. The reversal of 34211102112 is 21120111243.

34211102112 is a `hidden beast` number, since 342 + 1 + 110 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34211102119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1790323 + ... + 1809330.

It is an arithmetic number, because the mean of its divisors is an integer number (1133891010).

Almost surely, 234211102112 is an apocalyptic number.

34211102112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34211102112 is an abundant number, since it is smaller than the sum of its proper divisors (74642434848).

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

34211102112 is a wasteful number, since it uses less digits than its factorization.

34211102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599683 (or 3599669 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 34211102112 its reverse (21120111243), we get a palindrome (55331213355).

The spelling of 34211102112 in words is "thirty-four billion, two hundred eleven million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 3599653 7199306 10798959 14398612 21597918 28797224 32396877 39596183 43195836 57594448 64793754 79192366 86391672 97190631 115188896 118788549 129587508 158384732 172783344 194381262 237577098 259175016 316769464 345566688 356365647 388762524 475154196 518350032 633538928 712731294 777525048 950308392 1036700064 1069096941 1267077856 1425462588 1555050096 1900616784 2138193882 2850925176 3110100192 3801233568 4276387764 5701850352 8552775528 11403700704 17105551056 34211102112