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1220132031000 = 23353710357259
BaseRepresentation
bin10001110000010101100…
…010010100101000011000
311022122101002200020201020
4101300111202110220120
5124442312244443000
62332304303522440
7154103003066661
oct21602542245030
94278332606636
101220132031000
114305007a4a43
121785778b9420
138b09a43c69c
14430aa17c368
1521b12336ba0
hex11c15894a18

1220132031000 has 128 divisors (see below), whose sum is σ = 3807414374400. Its totient is φ = 325317052800.

The previous prime is 1220132030977. The next prime is 1220132031017. The reversal of 1220132031000 is 1302310221.

It is a super-2 number, since 2×12201320310002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 21280371 + ... + 21337629.

It is an arithmetic number, because the mean of its divisors is an integer number (29745424800).

Almost surely, 21220132031000 is an apocalyptic number.

1220132031000 is a gapful number since it is divisible by the number (10) 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 1220132031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903707187200).

1220132031000 is an abundant number, since it is smaller than the sum of its proper divisors (2587282343400).

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

1220132031000 is a wasteful number, since it uses less digits than its factorization.

1220132031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64386 (or 64372 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1220132031000 its reverse (1302310221), we get a palindrome (1221434341221).

The spelling of 1220132031000 in words is "one trillion, two hundred twenty billion, one hundred thirty-two million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 7103 14206 21309 28412 35515 42618 56824 57259 71030 85236 106545 114518 142060 170472 171777 177575 213090 229036 284120 286295 343554 355150 426180 458072 532725 572590 687108 710300 852360 858885 887875 1065450 1145180 1374216 1420600 1431475 1717770 1775750 2130900 2290360 2663625 2862950 3435540 3551500 4261800 4294425 5327250 5725900 6871080 7103000 7157375 8588850 10654500 11451800 14314750 17177700 21309000 21472125 28629500 34355400 42944250 57259000 85888500 171777000 406710677 813421354 1220132031 1626842708 2033553385 2440264062 3253685416 4067106770 4880528124 6100660155 8134213540 9761056248 10167766925 12201320310 16268427080 20335533850 24402640620 30503300775 40671067700 48805281240 50838834625 61006601550 81342135400 101677669250 122013203100 152516503875 203355338500 244026406200 305033007750 406710677000 610066015500 1220132031000