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102023220102011 = 136122339711171301
BaseRepresentation
bin10111001100101000100001…
…110010110000001101111011
3111101020022202121212210000222
4113030220201302300031323
5101333022023321231021
61000552453103050255
730326635334226605
oct2714504162601573
9441208677783028
10102023220102011
112a56489400a30a
12b538949ba098b
1344c0996241440
141b29d434c6175
15bbdcd10876ab
hex5cca21cb037b

102023220102011 has 64 divisors (see below), whose sum is σ = 112642843063296. Its totient is φ = 91830765312000.

The previous prime is 102023220101993. The next prime is 102023220102029. The reversal of 102023220102011 is 110201022320201.

It is an interprime number because it is at equal distance from previous prime (102023220101993) and next prime (102023220102029).

It is not a de Polignac number, because 102023220102011 - 26 = 102023220101947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102023220102311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78419077061 + ... + 78419078361.

It is an arithmetic number, because the mean of its divisors is an integer number (1760044422864).

Almost surely, 2102023220102011 is an apocalyptic number.

102023220102011 is a deficient number, since it is larger than the sum of its proper divisors (10619622961285).

102023220102011 is a wasteful number, since it uses less digits than its factorization.

102023220102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112.

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

Adding to 102023220102011 its reverse (110201022320201), we get a palindrome (212224242422212).

The spelling of 102023220102011 in words is "one hundred two trillion, twenty-three billion, two hundred twenty million, one hundred two thousand, eleven".

Divisors: 1 13 61 223 397 793 1117 1301 2899 5161 13603 14521 16913 24217 68137 79361 88531 176839 249091 290123 314821 443449 516497 885781 1031693 1150903 1453217 3238183 3771599 5400391 5764837 6714461 15194551 17697503 18891821 27050389 31506317 70205083 88646237 98889127 115178831 197529163 230067539 324067391 351655057 409582121 576927149 1152401081 1285558651 1497324803 4212876083 6032236747 7025908691 7500052937 19768110851 35192556089 78419077711 91336812983 128654754227 256985441063 457503229157 1672511804951 7847940007847 102023220102011