Search a number
-
+
1310772732220 = 225737997325373
BaseRepresentation
bin10011000100110000001…
…001001010000100111100
311122022100000010221200101
4103010300021022010330
5132433430304412340
62442054412410444
7163462112251060
oct23046011120474
94568300127611
101310772732220
11465994043376
12192053176a24
13967b3c0b2c3
14476281b9aa0
1524169a70c9a
hex1313024a13c

1310772732220 has 96 divisors (see below), whose sum is σ = 3231328963968. Its totient is φ = 437200561152.

The previous prime is 1310772732187. The next prime is 1310772732229. The reversal of 1310772732220 is 222372770131.

It is a super-2 number, since 2×13107727322202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1310772732220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310772732229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51647454 + ... + 51672826.

It is an arithmetic number, because the mean of its divisors is an integer number (33659676708).

Almost surely, 21310772732220 is an apocalyptic number.

1310772732220 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 1310772732220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615664481984).

1310772732220 is an abundant number, since it is smaller than the sum of its proper divisors (1920556231748).

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

1310772732220 is a wasteful number, since it uses less digits than its factorization.

1310772732220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35399 (or 35397 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

The spelling of 1310772732220 in words is "one trillion, three hundred ten billion, seven hundred seventy-two million, seven hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2590 5180 9973 19946 25373 39892 49865 50746 69811 99730 101492 126865 139622 177611 199460 253730 279244 349055 355222 369001 507460 698110 710444 738002 888055 938801 1396220 1476004 1776110 1845005 1877602 2583007 3552220 3690010 3755204 4694005 5166014 6571607 7380020 9388010 10332028 12915035 13143214 18776020 25830070 26286428 32858035 51660140 65716070 131432140 253044929 506089858 1012179716 1265224645 1771314503 2530449290 3542629006 5060898580 7085258012 8856572515 9362662373 17713145030 18725324746 35426290060 37450649492 46813311865 65538636611 93626623730 131077273222 187253247460 262154546444 327693183055 655386366110 1310772732220