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201324032320 = 2654327975231
BaseRepresentation
bin1011101101111111011…
…0001111000101000000
3201020122121200111101111
42323133312033011000
511244302423013240
6232253104413104
720354666016355
oct2733766170500
9636577614344
10201324032320
1178421193294
1233027017194
1315ca571ca58
149a5bc9a62c
1553848101ea
hex2edfd8f140

201324032320 has 112 divisors (see below), whose sum is σ = 490820951808. Its totient is φ = 78613678080.

The previous prime is 201324032309. The next prime is 201324032347. The reversal of 201324032320 is 23230423102.

It is a junction number, because it is equal to n+sod(n) for n = 201324032291 and 201324032300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38484105 + ... + 38489335.

Almost surely, 2201324032320 is an apocalyptic number.

201324032320 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 201324032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245410475904).

201324032320 is an abundant number, since it is smaller than the sum of its proper divisors (289496919488).

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

201324032320 is a wasteful number, since it uses less digits than its factorization.

201324032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8088 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 201324032320 its reverse (23230423102), we get a palindrome (224554455422).

The spelling of 201324032320 in words is "two hundred one billion, three hundred twenty-four million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1720 2752 2797 3440 5231 5594 6880 10462 11188 13760 13985 20924 22376 26155 27970 41848 44752 52310 55940 83696 89504 104620 111880 120271 167392 179008 209240 223760 224933 240542 334784 418480 447520 449866 481084 601355 836960 895040 899732 962168 1124665 1202710 1673920 1799464 1924336 2249330 2405420 3598928 3848672 4498660 4810840 7197856 7697344 8997320 9621680 14395712 14631107 17994640 19243360 29262214 35989280 38486720 58524428 71978560 73155535 117048856 146311070 234097712 292622140 468195424 585244280 629137601 936390848 1170488560 1258275202 2340977120 2516550404 3145688005 4681954240 5033100808 6291376010 10066201616 12582752020 20132403232 25165504040 40264806464 50331008080 100662016160 201324032320