Search a number
-
+
10121220000112 = 241357185218409
BaseRepresentation
bin1001001101001000011110…
…1110010000100101110000
31022211120122020001021212011
42103102013232100211300
52311311224310000422
633305342502212304
72063143160344324
oct223220756204560
938746566037764
1010121220000112
1132524269152a1
121175688124094
1358557201a540
1426dc264cd984
15128422085077
hex93487b90970

10121220000112 has 40 divisors (see below), whose sum is σ = 21155299845680. Its totient is φ = 4663151285760.

The previous prime is 10121220000097. The next prime is 10121220000163. The reversal of 10121220000112 is 21100002212101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10121220000092 and 10121220000101.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 42490437 + ... + 42727972.

It is an arithmetic number, because the mean of its divisors is an integer number (528882496142).

Almost surely, 210121220000112 is an apocalyptic number.

It is an amenable number.

10121220000112 is an abundant number, since it is smaller than the sum of its proper divisors (11034079845568).

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

10121220000112 is a wasteful number, since it uses less digits than its factorization.

10121220000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85219001 (or 85218995 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10121220000112 its reverse (21100002212101), we get a palindrome (31221222212213).

The spelling of 10121220000112 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 52 104 208 571 1142 2284 4568 7423 9136 14846 29692 59384 118768 85218409 170436818 340873636 681747272 1107839317 1363494544 2215678634 4431357268 8862714536 17725429072 48659711539 97319423078 194638846156 389277692312 632576250007 778555384624 1265152500014 2530305000028 5060610000056 10121220000112