Search a number
-
+
101303051112 = 233585361091
BaseRepresentation
bin101111001011000100…
…0011110001101101000
3100200110222120012100000
41132112020132031220
53124432040113422
6114312111543000
710214245504224
oct1362610361550
9320428505300
10101303051112
1139a64a2774a
121777222aa60
1397257753c3
144c90137784
15297d82dcac
hex179621e368

101303051112 has 96 divisors (see below), whose sum is σ = 284862221280. Its totient is φ = 33727544640.

The previous prime is 101303051099. The next prime is 101303051147. The reversal of 101303051112 is 211150303101.

101303051112 is a `hidden beast` number, since 10 + 130 + 3 + 0 + 511 + 12 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1627687 + ... + 1688777.

It is an arithmetic number, because the mean of its divisors is an integer number (2967314805).

Almost surely, 2101303051112 is an apocalyptic number.

101303051112 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 101303051112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142431110640).

101303051112 is an abundant number, since it is smaller than the sum of its proper divisors (183559170168).

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

101303051112 is an equidigital number, since it uses as much as digits as its factorization.

101303051112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61965 (or 61949 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 101303051112 its reverse (211150303101), we get a palindrome (312453354213).

The spelling of 101303051112 in words is "one hundred one billion, three hundred three million, fifty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 853 972 1706 1944 2559 3412 5118 6824 7677 10236 15354 20472 23031 30708 46062 61091 61416 69093 92124 122182 138186 183273 184248 207279 244364 276372 366546 414558 488728 549819 552744 733092 829116 1099638 1466184 1649457 1658232 2199276 3298914 4398552 4948371 6597828 9896742 13195656 14845113 19793484 29690226 39586968 52110623 59380452 104221246 118760904 156331869 208442492 312663738 416884984 468995607 625327476 937991214 1250654952 1406986821 1875982428 2813973642 3751964856 4220960463 5627947284 8441920926 11255894568 12662881389 16883841852 25325762778 33767683704 50651525556 101303051112