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31420533502413 = 321129101129183933
BaseRepresentation
bin1110010010011101010011…
…01111001111000111001101
311010020202220000002112221100
413021032221233033013031
513104243223034034123
6150454221022053313
76422026053053616
oct711165157170715
9133222800075840
1031420533502413
11a014412037650
12363561511a239
13146bc36106043
147a8a94a74c0d
153974c0939643
hex1c93a9bcf1cd

31420533502413 has 96 divisors (see below), whose sum is σ = 51766220638080. Its totient is φ = 18189743040000.

The previous prime is 31420533502409. The next prime is 31420533502427.

31420533502413 is a `hidden beast` number, since 3 + 1 + 4 + 205 + 3 + 35 + 0 + 2 + 413 = 666.

31420533502413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31420533502413 - 22 = 31420533502409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31420533502433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 374310595 + ... + 374394527.

It is an arithmetic number, because the mean of its divisors is an integer number (539231464980).

Almost surely, 231420533502413 is an apocalyptic number.

31420533502413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31420533502413 is a deficient number, since it is larger than the sum of its proper divisors (20345687135667).

31420533502413 is a wasteful number, since it uses less digits than its factorization.

31420533502413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85371 (or 85368 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 3142053 and 3502413, that added together give a palindrome (6644466).

The spelling of 31420533502413 in words is "thirty-one trillion, four hundred twenty billion, five hundred thirty-three million, five hundred two thousand, four hundred thirteen".

Divisors: 1 3 9 11 29 33 87 99 101 261 303 319 909 957 1111 1291 2871 2929 3333 3873 8787 9999 11619 14201 26361 32219 37439 42603 83933 96657 112317 127809 130391 251799 289971 336951 391173 411829 755397 923263 1173519 1235487 1434301 2434057 2769789 3706461 3781339 4302903 7302171 8309367 8477233 11344017 12908709 21906513 25431699 26774627 34032051 41594729 76295097 80323881 93249563 108357503 124784187 240971643 245839757 279748689 325072509 374352561 737519271 839246067 975217527 1191932533 2212557813 2704237327 3142367587 3575797599 8112711981 9427102761 10727392797 10944107803 24338135943 28281308283 32832323409 34566043457 98496970227 103698130371 120385185833 311094391113 317379126287 361155557499 952137378861 1083466672497 2856412136583 3491170389157 10473511167471 31420533502413