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21140000312101 = 1124753571112281
BaseRepresentation
bin1001100111010000010100…
…01101011000101100100101
32202211222000222011200000021
410303220022031120230211
510232324210034441401
6112543325421115141
74311212625550066
oct463501215305445
982758028150007
1021140000312101
11681047306a600
1224550a73b8ab1
13ba4655220628
14531277d7456d
15269d773812a1
hex133a0a358b25

21140000312101 has 48 divisors (see below), whose sum is σ = 24184879617024. Its totient is φ = 18449658656000.

The previous prime is 21140000312051. The next prime is 21140000312107. The reversal of 21140000312101 is 10121300004112.

It is not a de Polignac number, because 21140000312101 - 211 = 21140000310053 is a prime.

It is a super-2 number, since 2×211400003121012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21140000312107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1721352081 + ... + 1721364361.

It is an arithmetic number, because the mean of its divisors is an integer number (503851658688).

Almost surely, 221140000312101 is an apocalyptic number.

It is an amenable number.

21140000312101 is a deficient number, since it is larger than the sum of its proper divisors (3044879304923).

21140000312101 is a wasteful number, since it uses less digits than its factorization.

21140000312101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18114 (or 18103 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 21140000312101 its reverse (10121300004112), we get a palindrome (31261300316213).

The spelling of 21140000312101 in words is "twenty-one trillion, one hundred forty billion, three hundred twelve thousand, one hundred one".

Divisors: 1 11 47 53 121 517 583 2491 5687 5711 6413 12281 27401 62821 135091 268417 301411 302683 577207 650893 691031 1486001 2952587 3329513 6349277 7159823 14226101 30591971 32478457 36624643 69842047 70136791 78758053 156487111 336511681 771504701 1721358221 3296429177 3701628491 3717249923 8486551711 36260720947 40889749153 174710746381 398867930417 449787240683 1921818210191 21140000312101