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234100142320 = 245112227106537
BaseRepresentation
bin1101101000000101110…
…1001011000011110000
3211101020211201101202111
43122001131023003300
512313414114023240
6255313310255104
722625135243362
oct3320135130360
9741224641674
10234100142320
1190310477900
12394537b7494
13190c9c99195
14b48acaad32
1561520051ea
hex368174b0f0

234100142320 has 120 divisors (see below), whose sum is σ = 600902446032. Its totient is φ = 84751518720.

The previous prime is 234100142317. The next prime is 234100142321. The reversal of 234100142320 is 23241001432.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 234100142291 and 234100142300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234100142321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2144092 + ... + 2250628.

Almost surely, 2234100142320 is an apocalyptic number.

234100142320 is a gapful number since it is divisible by the number (20) 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 234100142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300451223016).

234100142320 is an abundant number, since it is smaller than the sum of its proper divisors (366802303712).

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

234100142320 is a wasteful number, since it uses less digits than its factorization.

234100142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106799 (or 106782 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 234100142320 its reverse (23241001432), we get a palindrome (257341143752).

The spelling of 234100142320 in words is "two hundred thirty-four billion, one hundred million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 227 242 440 454 484 605 880 908 968 1135 1210 1816 1936 2270 2420 2497 3632 4540 4840 4994 9080 9680 9988 12485 18160 19976 24970 27467 39952 49940 54934 99880 106537 109868 137335 199760 213074 219736 274670 426148 439472 532685 549340 852296 1065370 1098680 1171907 1704592 2130740 2197360 2343814 4261480 4687628 5859535 8522960 9375256 11719070 12890977 18750512 23438140 24183899 25781954 46876280 48367798 51563908 64454885 93752560 96735596 103127816 120919495 128909770 193471192 206255632 241838990 257819540 266022889 386942384 483677980 515639080 532045778 967355960 1031278160 1064091556 1330114445 1934711920 2128183112 2660228890 2926251779 4256366224 5320457780 5852503558 10640915560 11705007116 14631258895 21281831120 23410014232 29262517790 46820028464 58525035580 117050071160 234100142320