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103351541200 = 245219110312329
BaseRepresentation
bin110000001000000111…
…0110101110111010000
3100212202202011021110021
41200100032311313100
53143130443304300
6115251250113224
710316101414435
oct1402016656720
9325682137407
10103351541200
113a916283666
121804427b814
139990c9980b
145006215b8c
152a4d5bdd1a
hex18103b5dd0

103351541200 has 120 divisors (see below), whose sum is σ = 261628790400. Its totient is φ = 39126113280.

The previous prime is 103351541171. The next prime is 103351541213. The reversal of 103351541200 is 2145153301.

It is a happy number.

103351541200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 8376636 + ... + 8388964.

It is an arithmetic number, because the mean of its divisors is an integer number (2180239920).

Almost surely, 2103351541200 is an apocalyptic number.

103351541200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103351541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130814395200).

103351541200 is an abundant number, since it is smaller than the sum of its proper divisors (158277249200).

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

103351541200 is a wasteful number, since it uses less digits than its factorization.

103351541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13469 (or 13458 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 103351541200 its reverse (2145153301), we get a palindrome (105496694501).

The spelling of 103351541200 in words is "one hundred three billion, three hundred fifty-one million, five hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1103 1520 1900 2206 3800 4412 5515 7600 8824 11030 12329 17648 20957 22060 24658 27575 41914 44120 49316 55150 61645 83828 88240 98632 104785 110300 123290 167656 197264 209570 220600 234251 246580 308225 335312 419140 441200 468502 493160 523925 616450 838280 937004 986320 1047850 1171255 1232900 1676560 1874008 2095700 2342510 2465800 3748016 4191400 4685020 4931600 5856275 8382800 9370040 11712550 13598887 18740080 23425100 27197774 46850200 54395548 67994435 93700400 108791096 135988870 217582192 258378853 271977740 339972175 516757706 543955480 679944350 1033515412 1087910960 1291894265 1359888700 2067030824 2583788530 2719777400 4134061648 5167577060 5439554800 6459471325 10335154120 12918942650 20670308240 25837885300 51675770600 103351541200