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20401429300 = 2252728235059
BaseRepresentation
bin10011000000000001…
…010001101100110100
31221122210212222201121
4103000001101230310
5313240231214200
613212225233324
71321365200500
oct230001215464
957583788647
1020401429300
11871a09087a
123b54492844
131c018c9975
14db773d300
157e6112e1a
hex4c0051b34

20401429300 has 108 divisors (see below), whose sum is σ = 51571803360. Its totient is φ = 6984895680.

The previous prime is 20401429291. The next prime is 20401429357. The reversal of 20401429300 is 392410402.

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 35 ways as a sum of consecutive naturals, for example, 4030171 + ... + 4035229.

Almost surely, 220401429300 is an apocalyptic number.

20401429300 is a gapful number since it is divisible by the number (20) 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 20401429300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25785901680).

20401429300 is an abundant number, since it is smaller than the sum of its proper divisors (31170374060).

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

20401429300 is a wasteful number, since it uses less digits than its factorization.

20401429300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5910 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 20401429300 its reverse (392410402), we get a palindrome (20793839702).

The spelling of 20401429300 in words is "twenty billion, four hundred one million, four hundred twenty-nine thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 823 980 1225 1646 2450 3292 4115 4900 5059 5761 8230 10118 11522 16460 20236 20575 23044 25295 28805 35413 40327 41150 50590 57610 70826 80654 82300 101180 115220 126475 141652 144025 161308 177065 201635 247891 252950 288050 354130 403270 495782 505900 576100 708260 806540 885325 991564 1008175 1239455 1770650 2016350 2478910 3541300 4032700 4163557 4957820 6197275 8327114 12394550 16654228 20817785 24789100 29144899 41635570 58289798 83271140 104088925 116579596 145724495 204014293 208177850 291448990 408028586 416355700 582897980 728622475 816057172 1020071465 1457244950 2040142930 2914489900 4080285860 5100357325 10200714650 20401429300