Search a number
-
+
152311211604101 = 11294710158821557
BaseRepresentation
bin100010101000011010110111…
…101010011011100010000101
3201222021210212012212011122002
4202220122313222123202011
5124430431330132312401
61255534445445515045
744040056545224404
oct4250326752334205
9658253765764562
10152311211604101
1144592905229460
12150bab24712a85
1366cab68944544
142987c8b04163b
151291e6e007a6b
hex8a86b7a9b885

152311211604101 has 16 divisors (see below), whose sum is σ = 175544436522240. Its totient is φ = 130845621641280.

The previous prime is 152311211604073. The next prime is 152311211604127. The reversal of 152311211604101 is 101406112113251.

It is a cyclic number.

It is not a de Polignac number, because 152311211604101 - 210 = 152311211603077 is a prime.

It is a super-2 number, since 2×1523112116041012 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152311211604191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5079395786 + ... + 5079425771.

It is an arithmetic number, because the mean of its divisors is an integer number (10971527282640).

Almost surely, 2152311211604101 is an apocalyptic number.

152311211604101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

152311211604101 is a deficient number, since it is larger than the sum of its proper divisors (23233224918139).

152311211604101 is a wasteful number, since it uses less digits than its factorization.

152311211604101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10158821644.

The product of its (nonzero) digits is 1440, while the sum is 29.

Adding to 152311211604101 its reverse (101406112113251), we get a palindrome (253717323717352).

The spelling of 152311211604101 in words is "one hundred fifty-two trillion, three hundred eleven billion, two hundred eleven million, six hundred four thousand, one hundred one".

Divisors: 1 11 29 47 319 517 1363 14993 10158821557 111747037127 294605825153 477464613179 3240664076683 5252110744969 13846473782191 152311211604101