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145503540501 = 31119656935327
BaseRepresentation
bin1000011110000010101…
…1111101010100010101
3111220120101120201000120
42013200223331110111
54340442401244001
6150502101502153
713340466454614
oct2074053752425
9456511521016
10145503540501
1156786a56620
1224248a11959
131094ab45337
14708452787b
153bb8e90236
hex21e0afd515

145503540501 has 32 divisors (see below), whose sum is σ = 222820761600. Its totient is φ = 83527620480.

The previous prime is 145503540487. The next prime is 145503540527. The reversal of 145503540501 is 105045305541.

145503540501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145503540501 - 210 = 145503539477 is a prime.

It is a super-2 number, since 2×1455035405012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145503545501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4101100 + ... + 4136426.

It is an arithmetic number, because the mean of its divisors is an integer number (6963148800).

Almost surely, 2145503540501 is an apocalyptic number.

145503540501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145503540501 is a deficient number, since it is larger than the sum of its proper divisors (77317221099).

145503540501 is a wasteful number, since it uses less digits than its factorization.

145503540501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41929.

The product of its (nonzero) digits is 30000, while the sum is 33.

The spelling of 145503540501 in words is "one hundred forty-five billion, five hundred three million, five hundred forty thousand, five hundred one".

Divisors: 1 3 11 19 33 57 209 627 6569 19707 35327 72259 105981 124811 216777 374433 388597 671213 1165791 1372921 2013639 4118763 7383343 22150029 232063063 696189189 2552693693 4409198197 7658081079 13227594591 48501180167 145503540501