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102110211102200 = 23527110366124991
BaseRepresentation
bin10111001101111001100010…
…110111000101010111111000
3111101112122022011210110101212
4113031321202313011113320
5101340433203020232300
61001100441114102252
730336135135435140
oct2715714267052770
9441478264713355
10102110211102200
112a5987741832a4
12b55178711a988
1344c8c4a84a952
141b30236917920
15bc11c3193935
hex5cde62dc55f8

102110211102200 has 96 divisors (see below), whose sum is σ = 271567407144960. Its totient is φ = 34977474710400.

The previous prime is 102110211102197. The next prime is 102110211102253. The reversal of 102110211102200 is 2201112011201.

It is a super-2 number, since 2×1021102111022002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31518296 + ... + 34606695.

It is an arithmetic number, because the mean of its divisors is an integer number (2828827157760).

Almost surely, 2102110211102200 is an apocalyptic number.

102110211102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102110211102200 is an abundant number, since it is smaller than the sum of its proper divisors (169457196042760).

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

102110211102200 is a wasteful number, since it uses less digits than its factorization.

102110211102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66126117 (or 66126108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102110211102200 its reverse (2201112011201), we get a palindrome (104311323113401).

Subtracting from 102110211102200 its reverse (2201112011201), we obtain a palindrome (99909099090999).

The spelling of 102110211102200 in words is "one hundred two trillion, one hundred ten billion, two hundred eleven million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1103 1400 2206 4412 5515 7721 8824 11030 15442 22060 27575 30884 38605 44120 55150 61768 77210 110300 154420 193025 220600 308840 386050 772100 1544200 66124991 132249982 264499964 330624955 462874937 528999928 661249910 925749874 1322499820 1653124775 1851499748 2314374685 2644999640 3306249550 3702999496 4628749370 6612499100 9257498740 11571873425 13224998200 18514997480 23143746850 46287493700 72935865073 92574987400 145871730146 291743460292 364679325365 510551055511 583486920584 729358650730 1021102111022 1458717301460 1823396626825 2042204222044 2552755277555 2917434602920 3646793253650 4084408444088 5105510555110 7293586507300 10211021110220 12763776387775 14587173014600 20422042220440 25527552775550 51055105551100 102110211102200