Search a number
-
+
122100310231400 = 23523131950484189
BaseRepresentation
bin11011110000110010110001…
…100111100100100101101000
3121000022200020120000121122002
4123300302301213210211220
5112000442413404401100
61111404035210150132
734501312340452364
oct3360626147444550
9530280216017562
10122100310231400
11359a54a5a82586
121183ba36a22348
135319018841547
142221987c582a4
15e1b198bed2d5
hex6f0cb19e4968

122100310231400 has 48 divisors (see below), whose sum is σ = 284790196581900. Its totient is φ = 48684085332480.

The previous prime is 122100310231399. The next prime is 122100310231429. The reversal of 122100310231400 is 4132013001221.

It can be written as a sum of positive squares in 6 ways, for example, as 4665072974884 + 117435237256516 = 2159878^2 + 10836754^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 975179495 + ... + 975304694.

Almost surely, 2122100310231400 is an apocalyptic number.

122100310231400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100310231400 is an abundant number, since it is smaller than the sum of its proper divisors (162689886350500).

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

122100310231400 is a wasteful number, since it uses less digits than its factorization.

122100310231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950484518 (or 1950484509 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122100310231400 its reverse (4132013001221), we get a palindrome (126232323232621).

The spelling of 122100310231400 in words is "one hundred twenty-two trillion, one hundred billion, three hundred ten million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 313 626 1252 1565 2504 3130 6260 7825 12520 15650 31300 62600 1950484189 3900968378 7801936756 9752420945 15603873512 19504841890 39009683780 48762104725 78019367560 97524209450 195048418900 390096837800 610501551157 1221003102314 2442006204628 3052507755785 4884012409256 6105015511570 12210031023140 15262538778925 24420062046280 30525077557850 61050155115700 122100310231400