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134220010132212 = 22323798353736951
BaseRepresentation
bin11110100001001010001000…
…000001101001001011110100
3122121020022022021120201020020
4132201022020001221023310
5120043030040043212322
61153243453232405140
740162034655035514
oct3641121001511364
9577208267521206
10134220010132212
113984842867a544
12130788a19a67b0
1359b7b7b1b44b4
1425203d6d81844
15107b58559605c
hex7a12880692f4

134220010132212 has 96 divisors (see below), whose sum is σ = 330973279150080. Its totient is φ = 42247963929600.

The previous prime is 134220010132193. The next prime is 134220010132213. The reversal of 134220010132212 is 212231010022431.

It is a super-2 number, since 2×1342200101322122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134220010132213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181760337 + ... + 182497287.

It is an arithmetic number, because the mean of its divisors is an integer number (3447638324480).

Almost surely, 2134220010132212 is an apocalyptic number.

134220010132212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134220010132212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165486639575040).

134220010132212 is an abundant number, since it is smaller than the sum of its proper divisors (196753269017868).

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

134220010132212 is a wasteful number, since it uses less digits than its factorization.

134220010132212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745413 (or 745411 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 134220010132212 its reverse (212231010022431), we get a palindrome (346451020154643).

The spelling of 134220010132212 in words is "one hundred thirty-four trillion, two hundred twenty billion, ten million, one hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 79 92 138 158 237 276 316 474 948 1817 3634 5451 7268 8353 10902 16706 21804 25059 33412 50118 100236 192119 384238 576357 659887 736951 768476 1152714 1319774 1473902 1979661 2210853 2305428 2639548 2947804 3959322 4421706 7918644 8843412 15177401 16949873 30354802 33899746 45532203 50849619 58219129 60709604 67799492 91064406 101699238 116438258 174657387 182128812 203398476 232876516 349314774 698629548 1339039967 2678079934 4017119901 5356159868 6155751703 8034239802 12311503406 16068479604 18467255109 24623006812 36934510218 73869020436 141582289169 283164578338 424746867507 486304384537 566329156676 849493735014 972608769074 1458913153611 1698987470028 1945217538148 2917826307222 5835652614444 11185000844351 22370001688702 33555002533053 44740003377404 67110005066106 134220010132212