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3412211253 = 3112172329829
BaseRepresentation
bin1100101101100010…
…0011011000110101
322210210200021212120
43023120203120311
523442011230003
61322331310153
7150362213523
oct31330433065
98723607776
103412211253
1114a1116900
127b28ab359
13424c10019
14245269313
1514e86a853
hexcb623635

3412211253 has 96 divisors (see below), whose sum is σ = 5722617600. Its totient is φ = 1795368960.

The previous prime is 3412211239. The next prime is 3412211269. The reversal of 3412211253 is 3521122143.

3412211253 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3412211253 - 24 = 3412211237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412211953) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4115643 + ... + 4116471.

It is an arithmetic number, because the mean of its divisors is an integer number (59610600).

Almost surely, 23412211253 is an apocalyptic number.

3412211253 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3412211253 is a deficient number, since it is larger than the sum of its proper divisors (2310406347).

3412211253 is a wasteful number, since it uses less digits than its factorization.

3412211253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 912 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 3412211253 is about 58414.1357292907. The cubic root of 3412211253 is about 1505.4926409366.

Adding to 3412211253 its reverse (3521122143), we get a palindrome (6933333396).

The spelling of 3412211253 in words is "three billion, four hundred twelve million, two hundred eleven thousand, two hundred fifty-three".

Divisors: 1 3 11 17 23 29 33 51 69 87 121 187 253 319 363 391 493 561 667 759 829 957 1173 1479 2001 2057 2487 2783 3509 4301 5423 6171 7337 8349 9119 10527 11339 12903 14093 16269 19067 22011 24041 27357 34017 42279 47311 57201 59653 72123 80707 100309 124729 141933 155023 178959 209737 242121 264451 300927 324139 374187 408697 465069 552943 629211 793353 972417 1226091 1372019 1658829 1705253 2307107 2908961 3565529 4116057 4495667 5115759 6082373 6921321 8726883 9400031 10696587 13487001 18247119 28200093 39220819 49452337 66906103 103400341 117662457 148357011 200718309 310201023 1137403751 3412211253