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131415002100 = 22335248672223
BaseRepresentation
bin111101001100011110…
…0011100101111110100
3110120012112111210121000
41322120330130233310
54123114220031400
6140212103323300
712331405041624
oct1723074345764
9416175453530
10131415002100
1150807385158
1221576750530
13c5140a6895
1465093a4884
1536421bd600
hex1e98f1cbf4

131415002100 has 72 divisors (see below), whose sum is σ = 422474904320. Its totient is φ = 35043999840.

The previous prime is 131415002051. The next prime is 131415002101. The reversal of 131415002100 is 1200514131.

131415002100 is a `hidden beast` number, since 1 + 3 + 141 + 500 + 21 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131415002101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24333412 + ... + 24338811.

Almost surely, 2131415002100 is an apocalyptic number.

131415002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131415002100 is an abundant number, since it is smaller than the sum of its proper divisors (291059902220).

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

131415002100 is a wasteful number, since it uses less digits than its factorization.

131415002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48672246 (or 48672233 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 131415002100 its reverse (1200514131), we get a palindrome (132615516231).

The spelling of 131415002100 in words is "one hundred thirty-one billion, four hundred fifteen million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 48672223 97344446 146016669 194688892 243361115 292033338 438050007 486722230 584066676 730083345 876100014 973444460 1216805575 1314150021 1460166690 1752200028 2190250035 2433611150 2628300042 2920333380 3650416725 4380500070 4867222300 5256600084 6570750105 7300833450 8761000140 10951250175 13141500210 14601666900 21902500350 26283000420 32853750525 43805000700 65707501050 131415002100