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1320023030232 = 2331931149626713
BaseRepresentation
bin10011001101010111100…
…000001111100111011000
311200012012200012210000110
4103031113200033213120
5133111401343431412
62450224334404320
7164240254424664
oct23152740174730
94605180183013
101320023030232
11469900651165
121939b50606a0
13976294a681a
1447c649478a4
152450bbded3c
hex1335780f9d8

1320023030232 has 128 divisors (see below), whose sum is σ = 3609872640000. Its totient is φ = 400694584320.

The previous prime is 1320023030191. The next prime is 1320023030279. The reversal of 1320023030232 is 2320303200231.

It is a junction number, because it is equal to n+sod(n) for n = 1320023030199 and 1320023030208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1792908 + ... + 2419620.

It is an arithmetic number, because the mean of its divisors is an integer number (28202130000).

Almost surely, 21320023030232 is an apocalyptic number.

1320023030232 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 1320023030232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804936320000).

1320023030232 is an abundant number, since it is smaller than the sum of its proper divisors (2289849609768).

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

1320023030232 is a wasteful number, since it uses less digits than its factorization.

1320023030232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626921 (or 626917 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 1320023030232 its reverse (2320303200231), we get a palindrome (3640326230463).

The spelling of 1320023030232 in words is "one trillion, three hundred twenty billion, twenty-three million, thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 149 152 186 228 248 298 372 447 456 589 596 744 894 1178 1192 1767 1788 2356 2831 3534 3576 4619 4712 5662 7068 8493 9238 11324 13857 14136 16986 18476 22648 27714 33972 36952 55428 67944 87761 110856 175522 263283 351044 526566 626713 702088 1053132 1253426 1880139 2106264 2506852 3760278 5013704 7520556 11907547 15041112 19428103 23815094 35722641 38856206 47630188 58284309 71445282 77712412 93380237 95260376 116568618 142890564 155424824 186760474 233137236 280140711 285781128 369133957 373520948 466274472 560281422 738267914 747041896 1107401871 1120562844 1476535828 1774224503 2214803742 2241125688 2894787347 2953071656 3548449006 4429607484 5322673509 5789574694 7096898012 8684362041 8859214968 10645347018 11579149388 14193796024 17368724082 21290694036 23158298776 34737448164 42581388072 55000959593 69474896328 110001919186 165002878779 220003838372 330005757558 440007676744 660011515116 1320023030232