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102100000140 = 223252919559387
BaseRepresentation
bin101111100010110100…
…0100101110110001100
3100202112112011101212200
41133011220211312030
53133100100001030
6114523141201500
710243063452615
oct1370550456614
9322475141780
10102100000140
113a333874306
1217955100290
1398218ca688
144d27d0ac0c
1529c87a1d60
hex17c5a25d8c

102100000140 has 72 divisors (see below), whose sum is σ = 320382775440. Its totient is φ = 26287814784.

The previous prime is 102100000139. The next prime is 102100000153. The reversal of 102100000140 is 41000001201.

It is a happy number.

102100000140 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9774474 + ... + 9784913.

It is an arithmetic number, because the mean of its divisors is an integer number (4449760770).

Almost surely, 2102100000140 is an apocalyptic number.

102100000140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100000140 is an abundant number, since it is smaller than the sum of its proper divisors (218282775300).

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

102100000140 is a wasteful number, since it uses less digits than its factorization.

102100000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19559431 (or 19559426 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102100000140 its reverse (41000001201), we get a palindrome (143100001341).

The spelling of 102100000140 in words is "one hundred two billion, one hundred million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 19559387 39118774 58678161 78237548 97796935 117356322 176034483 195593870 234712644 293390805 352068966 391187740 567222223 586781610 704137932 880172415 1134444446 1173563220 1701666669 1760344830 2268888892 2836111115 3403333338 3520689660 5105000007 5672222230 6806666676 8508333345 10210000014 11344444460 17016666690 20420000028 25525000035 34033333380 51050000070 102100000140