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20501401200 = 2435272440643
BaseRepresentation
bin10011000101111110…
…101000111001110000
31221220210000002101120
4103011332220321300
5313441324314300
613230200102240
71324021014660
oct230576507160
957823002346
1020501401200
118770563185
123b81a64980
131c19530737
14dc6b241a0
157eecae3a0
hex4c5fa8e70

20501401200 has 120 divisors (see below), whose sum is σ = 75054684288. Its totient is φ = 4686032640.

The previous prime is 20501401199. The next prime is 20501401211. The reversal of 20501401200 is 210410502.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×205014012002 (a number of 21 digits) contains 22 as substring.

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 20501401200.

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, 1211922 + ... + 1228721.

Almost surely, 220501401200 is an apocalyptic number.

20501401200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20501401200 is an abundant number, since it is smaller than the sum of its proper divisors (54553283088).

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

20501401200 is a wasteful number, since it uses less digits than its factorization.

20501401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440671 (or 2440660 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 20501401200 its reverse (210410502), we get a palindrome (20711811702).

The spelling of 20501401200 in words is "twenty billion, five hundred one million, four hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 2440643 4881286 7321929 9762572 12203215 14643858 17084501 19525144 24406430 29287716 34169002 36609645 39050288 48812860 51253503 58575432 61016075 68338004 73219290 85422505 97625720 102507006 117150864 122032150 136676008 146438580 170845010 183048225 195251440 205014012 244064300 256267515 273352016 292877160 341690020 366096450 410028024 427112525 488128600 512535030 585754320 683380040 732192900 820056048 854225050 976257200 1025070060 1281337575 1366760080 1464385800 1708450100 2050140120 2562675150 2928771600 3416900200 4100280240 5125350300 6833800400 10250700600 20501401200