Search a number
-
+
10122220120103 = 7132322943116823
BaseRepresentation
bin1001001101001100001101…
…0101011010100000100111
31022211200012220221122120022
42103103003111122200213
52311320301322320403
633310030030225355
72063210023255130
oct223230325324047
938750186848508
1010122220120103
11325289a410243
12117590705525b
135856a129a210
1426dcbd26cc87
1512847ec8bd38
hex934c355a827

10122220120103 has 96 divisors (see below), whose sum is σ = 13504465981440. Its totient is φ = 7378823612160.

The previous prime is 10122220120093. The next prime is 10122220120109. The reversal of 10122220120103 is 30102102222101.

It is not a de Polignac number, because 10122220120103 - 220 = 10122219071527 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122220120109) 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, 601680950 + ... + 601697772.

It is an arithmetic number, because the mean of its divisors is an integer number (140671520640).

Almost surely, 210122220120103 is an apocalyptic number.

10122220120103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10122220120103 is a deficient number, since it is larger than the sum of its proper divisors (3382245861337).

10122220120103 is a wasteful number, since it uses less digits than its factorization.

10122220120103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17349 (or 17326 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10122220120103 its reverse (30102102222101), we get a palindrome (40224322342204).

The spelling of 10122220120103 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty million, one hundred twenty thousand, one hundred three".

Divisors: 1 7 13 23 29 91 161 203 299 377 431 529 667 2093 2639 3017 3703 4669 5603 6877 8671 9913 12499 15341 16823 39221 48139 60697 69391 87493 107387 117761 128869 162487 199433 218699 227999 287477 386929 487867 902083 1137409 1396031 1530893 1595993 2012339 2708503 2963987 3415069 3737201 5030077 6342271 6611971 7250713 8899367 11220941 20747909 26160407 35210539 44395897 46283797 50754991 62295569 78546587 85955623 94259269 115691771 145872233 166766399 210270677 258081643 601689361 659814883 809842397 1021105631 1167364793 1471894739 1806571501 2167963187 2733518801 3355061359 3835627177 4836225571 15175742309 19134631607 23485429513 26849390239 33853578997 49863153301 62870932423 111233188133 349042073107 440096526961 778632316931 1446031445729 10122220120103