Search a number
-
+
101303110114008 = 23311610162895247
BaseRepresentation
bin10111000010001001110111…
…111001001001101011011000
3111021200111000220220010212120
4113002021313321021223120
5101234222232142122013
6555242001210541240
730223623335304465
oct2702116771115330
9437614026803776
10101303110114008
112a307453769020
12b44127a737820
13446aac4699b1a
141b0314d46866c
15baa1d678a123
hex5c2277e49ad8

101303110114008 has 64 divisors (see below), whose sum is σ = 276326498373120. Its totient is φ = 30692880048000.

The previous prime is 101303110114007. The next prime is 101303110114069. The reversal of 101303110114008 is 800411011303101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101303110114007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29836960 + ... + 33058287.

It is an arithmetic number, because the mean of its divisors is an integer number (4317601537080).

Almost surely, 2101303110114008 is an apocalyptic number.

It is an amenable number.

101303110114008 is an abundant number, since it is smaller than the sum of its proper divisors (175023388259112).

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

101303110114008 is a wasteful number, since it uses less digits than its factorization.

101303110114008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62901368 (or 62901364 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 101303110114008 its reverse (800411011303101), we get a palindrome (901714121417109).

The spelling of 101303110114008 in words is "one hundred one trillion, three hundred three billion, one hundred ten million, one hundred fourteen thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 6101 12202 18303 24404 36606 48808 67111 73212 134222 146424 201333 268444 402666 536888 805332 1610664 62895247 125790494 188685741 251580988 377371482 503161976 691847717 754742964 1383695434 1509485928 2075543151 2767390868 4151086302 5534781736 8302172604 16604345208 383723901947 767447803894 1151171705841 1534895607788 2302343411682 3069791215576 4220962921417 4604686823364 8441925842834 9209373646728 12662888764251 16883851685668 25325777528502 33767703371336 50651555057004 101303110114008