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103321212000 = 253538610101
BaseRepresentation
bin110000000111001101…
…1001001010001100000
3100212200122002101121120
41200032123021101200
53143100212241000
6115244244052240
710315252545216
oct1401633112140
9325618071546
10103321212000
113a900148906
1218036094080
13998790aa46
14500219ccb6
152a4aacc6a0
hex180e6c9460

103321212000 has 96 divisors (see below), whose sum is σ = 338480329824. Its totient is φ = 27552320000.

The previous prime is 103321211941. The next prime is 103321212023. The reversal of 103321212000 is 212123301.

103321212000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4293051 + ... + 4317050.

It is an arithmetic number, because the mean of its divisors is an integer number (3525836769).

Almost surely, 2103321212000 is an apocalyptic number.

103321212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103321212000 is an abundant number, since it is smaller than the sum of its proper divisors (235159117824).

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

103321212000 is an equidigital number, since it uses as much as digits as its factorization.

103321212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8610129 (or 8610111 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103321212000 its reverse (212123301), we get a palindrome (103533335301).

The spelling of 103321212000 in words is "one hundred three billion, three hundred twenty-one million, two hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 8610101 17220202 25830303 34440404 43050505 51660606 68880808 86101010 103321212 129151515 137761616 172202020 206642424 215252525 258303030 275523232 344404040 413284848 430505050 516606060 645757575 688808080 826569696 861010100 1033212120 1076262625 1291515150 1377616160 1722020200 2066424240 2152525250 2583030300 3228787875 3444040400 4132848480 4305050500 5166060600 6457575750 6888080800 8610101000 10332121200 12915151500 17220202000 20664242400 25830303000 34440404000 51660606000 103321212000