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1220130003132 = 2237587237607
BaseRepresentation
bin10001110000010101011…
…010100101100010111100
311022122100221212020000000
4101300111122211202330
5124442311240100012
62332304152234300
7154102646622555
oct21602532454274
94278327766000
101220130003132
114304aa63a417
1217857709b990
138b099bac671
14430a9bb132c
1521b12085ddc
hex11c156a58bc

1220130003132 has 96 divisors (see below), whose sum is σ = 3207822051840. Its totient is φ = 406015430256.

The previous prime is 1220130003119. The next prime is 1220130003149. The reversal of 1220130003132 is 2313000310221.

1220130003132 is a `hidden beast` number, since 1 + 220 + 130 + 0 + 0 + 313 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 5016273 + ... + 5253879.

It is an arithmetic number, because the mean of its divisors is an integer number (33414813040).

Almost surely, 21220130003132 is an apocalyptic number.

1220130003132 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 1220130003132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603911025920).

1220130003132 is an abundant number, since it is smaller than the sum of its proper divisors (1987692048708).

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

1220130003132 is an equidigital number, since it uses as much as digits as its factorization.

1220130003132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238219 (or 238199 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1220130003132 its reverse (2313000310221), we get a palindrome (3533130313353).

The spelling of 1220130003132 in words is "one trillion, two hundred twenty billion, one hundred thirty million, three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 587 729 972 1174 1458 1761 2187 2348 2916 3522 4374 5283 7044 8748 10566 15849 21132 31698 47547 63396 95094 142641 190188 237607 285282 427923 475214 570564 712821 855846 950428 1283769 1425642 1711692 2138463 2567538 2851284 4276926 5135076 6415389 8553852 12830778 19246167 25661556 38492334 57738501 76984668 115477002 139475309 173215503 230954004 278950618 346431006 418425927 519646509 557901236 692862012 836851854 1039293018 1255277781 1673703708 2078586036 2510555562 3765833343 5021111124 7531666686 11297500029 15063333372 22595000058 33892500087 45190000116 67785000174 101677500261 135570000348 203355000522 305032500783 406710001044 610065001566 1220130003132