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340000132122 = 23378312238861
BaseRepresentation
bin1001111001010011001…
…01100100110000011010
31012111121012020021111000
410330221211210300122
521032310013211442
6420105514445430
733364343303340
oct4745145446032
91174535207430
10340000132122
11121214235632
1255a89433876
13260a5c29341
1412655745990
158c9e1bed4c
hex4f29964c1a

340000132122 has 128 divisors (see below), whose sum is σ = 874709176320. Its totient is φ = 95883203520.

The previous prime is 340000132099. The next prime is 340000132127. The reversal of 340000132122 is 221231000043.

340000132122 is a `hidden beast` number, since 340 + 0 + 0 + 0 + 1 + 321 + 2 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 340000132095 and 340000132104.

It is not an unprimeable number, because it can be changed into a prime (340000132127) 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, 38365972 + ... + 38374832.

It is an arithmetic number, because the mean of its divisors is an integer number (6833665440).

Almost surely, 2340000132122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340000132122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437354588160).

340000132122 is an abundant number, since it is smaller than the sum of its proper divisors (534709044198).

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

340000132122 is a wasteful number, since it uses less digits than its factorization.

340000132122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10185 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 340000132122 its reverse (221231000043), we get a palindrome (561231132165).

The spelling of 340000132122 in words is "three hundred forty billion, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 83 126 166 189 249 378 498 581 747 1162 1223 1494 1743 2241 2446 3486 3669 4482 5229 7338 8561 8861 10458 11007 15687 17122 17722 22014 25683 26583 31374 33021 51366 53166 62027 66042 77049 79749 101509 124054 154098 159498 186081 203018 231147 239247 304527 372162 462294 478494 558243 609054 710563 735463 913581 1116486 1421126 1470926 1674729 1827162 2131689 2206389 2740743 3349458 4263378 4412778 5148241 5481486 6395067 6619167 10296482 10837003 12790134 13238334 15444723 19185201 19857501 21674006 30889446 32511009 38370402 39715002 46334169 65022018 75859021 92668338 97533027 139002507 151718042 195066054 227577063 278005014 292599081 455154126 585198162 682731189 899471249 1365462378 1798942498 2048193567 2698413747 4096387134 5396827494 6296298743 8095241241 12592597486 16190482482 18888896229 24285723723 37777792458 48571447446 56666688687 113333377374 170000066061 340000132122