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125110001400 = 23352421495289
BaseRepresentation
bin111010010000100100…
…0110001111011111000
3102221221010112120121120
41310201020301323320
54022211130021100
6133250313305240
712016225315446
oct1644110617370
9387833476546
10125110001400
114907137487a
12202b7105220
13ba4aa7bb37
1460abc7db96
1533c38da0a0
hex1d21231ef8

125110001400 has 96 divisors (see below), whose sum is σ = 388763026800. Its totient is φ = 33283353600.

The previous prime is 125110001383. The next prime is 125110001437. The reversal of 125110001400 is 4100011521.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 125110001400.

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, 4956 + ... + 500244.

Almost surely, 2125110001400 is an apocalyptic number.

125110001400 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 125110001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194381513400).

125110001400 is an abundant number, since it is smaller than the sum of its proper divisors (263653025400).

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

125110001400 is a wasteful number, since it uses less digits than its factorization.

125110001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495729 (or 495720 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 125110001400 its reverse (4100011521), we get a palindrome (129210012921).

The spelling of 125110001400 in words is "one hundred twenty-five billion, one hundred ten million, one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 421 600 842 1263 1684 2105 2526 3368 4210 5052 6315 8420 10104 10525 12630 16840 21050 25260 31575 42100 50520 63150 84200 126300 252600 495289 990578 1485867 1981156 2476445 2971734 3962312 4952890 5943468 7429335 9905780 11886936 12382225 14858670 19811560 24764450 29717340 37146675 49528900 59434680 74293350 99057800 148586700 208516669 297173400 417033338 625550007 834066676 1042583345 1251100014 1668133352 2085166690 2502200028 3127750035 4170333380 5004400056 5212916725 6255500070 8340666760 10425833450 12511000140 15638750175 20851666900 25022000280 31277500350 41703333800 62555000700 125110001400