Search a number
-
+
1101131231202 = 2323710731349367
BaseRepresentation
bin10000000001100000100…
…010010010111111100010
310220021012201200021012200
4100001200202102333202
5121020104043344302
62201504103434030
7142361026014462
oct20014042227742
93807181607180
101101131231202
11394a94967812
121594a6755916
137cab4272452
143b41b815ba2
151d999e5581c
hex10060892fe2

1101131231202 has 96 divisors (see below), whose sum is σ = 2481116406912. Its totient is φ = 352648588032.

The previous prime is 1101131231111. The next prime is 1101131231203. The reversal of 1101131231202 is 2021321311011.

1101131231202 is a `hidden beast` number, since 1 + 101 + 131 + 231 + 202 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1101131231203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22280323 + ... + 22329689.

It is an arithmetic number, because the mean of its divisors is an integer number (25844962572).

Almost surely, 21101131231202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101131231202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240558203456).

1101131231202 is an abundant number, since it is smaller than the sum of its proper divisors (1379985175710).

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

1101131231202 is a wasteful number, since it uses less digits than its factorization.

1101131231202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49832 (or 49829 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1101131231202 its reverse (2021321311011), we get a palindrome (3122452542213).

The spelling of 1101131231202 in words is "one trillion, one hundred one billion, one hundred thirty-one million, two hundred thirty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 107 111 214 222 313 321 333 626 642 666 939 963 1878 1926 2817 3959 5634 7918 11581 11877 23162 23754 33491 34743 35631 49367 66982 69486 71262 98734 100473 104229 148101 200946 208458 296202 301419 444303 602838 888606 1239167 1826579 2478334 3653158 3717501 5282269 5479737 7435002 10564538 10959474 11152503 15451871 15846807 16439211 22305006 30903742 31693614 32878422 46355613 47540421 92711226 95080842 139066839 195443953 278133678 390887906 571719227 586331859 1143438454 1172663718 1653350197 1715157681 1758995577 3306700394 3430315362 3517991154 4960050591 5145473043 9920101182 10290946086 14880151773 29760303546 61173957289 122347914578 183521871867 367043743734 550565615601 1101131231202