Search a number
-
+
102000200202105 = 35235314813766613
BaseRepresentation
bin10111001100010011000101…
…101100110011011101111001
3111101011010100022212200220120
4113030103011230303131321
5101332132402222431410
61000534124534443453
730325162022266032
oct2714230554633571
9441133308780816
10102000200202105
112a556050968847
12b5343a4803589
1344bb7680055aa
141b28b9c0d7a89
15bbd3d5146570
hex5cc4c5b33779

102000200202105 has 64 divisors (see below), whose sum is σ = 173626321070592. Its totient is φ = 51018608875520.

The previous prime is 102000200202049. The next prime is 102000200202137. The reversal of 102000200202105 is 501202002000201.

It is not a de Polignac number, because 102000200202105 - 220 = 102000199153529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25196779 + ... + 28963391.

It is an arithmetic number, because the mean of its divisors is an integer number (2712911266728).

Almost surely, 2102000200202105 is an apocalyptic number.

102000200202105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102000200202105 is a deficient number, since it is larger than the sum of its proper divisors (71626120868487).

102000200202105 is a wasteful number, since it uses less digits than its factorization.

102000200202105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768178.

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 102000200202105 its reverse (501202002000201), we get a palindrome (603202202202306).

The spelling of 102000200202105 in words is "one hundred two trillion, two hundred million, two hundred two thousand, one hundred five".

Divisors: 1 3 5 15 23 53 69 115 159 265 345 795 1219 1481 3657 4443 6095 7405 18285 22215 34063 78493 102189 170315 235479 392465 510945 1177395 1805339 3766613 5416017 9026695 11299839 18833065 27080085 56499195 86632099 199630489 259896297 433160495 598891467 998152445 1299481485 2994457335 4591501247 5578353853 13774503741 16735061559 22957506235 27891769265 68872518705 83675307795 128302138619 295652754209 384906415857 641510693095 886958262627 1478263771045 1924532079285 4434791313135 6800013346807 20400040040421 34000066734035 102000200202105