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20001202000 = 245313821937
BaseRepresentation
bin10010101000001010…
…100001111101010000
31220121220210100002021
4102220022201331100
5311430301431000
613104411101224
71305435261163
oct225012417520
956556710067
1020001202000
11853418010a
123a62441814
131b69a08a90
14d7a519ada
157c0e0711a
hex4a82a1f50

20001202000 has 160 divisors (see below), whose sum is σ = 52202221344. Its totient is φ = 7368192000.

The previous prime is 20001201991. The next prime is 20001202031. The reversal of 20001202000 is 20210002.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 19995091216 + 6110784 = 141404^2 + 2472^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21345532 + ... + 21346468.

Almost surely, 220001202000 is an apocalyptic number.

20001202000 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 20001202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26101110672).

20001202000 is an abundant number, since it is smaller than the sum of its proper divisors (32201019344).

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

20001202000 is a wasteful number, since it uses less digits than its factorization.

20001202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 20001202000 its reverse (20210002), we get a palindrome (20021412002).

The spelling of 20001202000 in words is "twenty billion, one million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 821 937 1000 1040 1300 1625 1642 1874 2000 2600 3250 3284 3748 4105 4685 5200 6500 6568 7496 8210 9370 10673 12181 13000 13136 14992 16420 18740 20525 21346 23425 24362 26000 32840 37480 41050 42692 46850 48724 53365 60905 65680 74960 82100 85384 93700 97448 102625 106730 117125 121810 164200 170768 187400 194896 205250 213460 234250 243620 266825 304525 328400 374800 410500 426920 468500 487240 533650 609050 769277 821000 853840 937000 974480 1067300 1218100 1334125 1522625 1538554 1642000 1874000 2134600 2436200 2668250 3045250 3077108 3846385 4269200 4872400 5336500 6090500 6154216 7692770 10000601 10673000 12181000 12308432 15385540 19231925 20001202 21346000 24362000 30771080 38463850 40002404 50003005 61542160 76927700 80004808 96159625 100006010 153855400 160009616 192319250 200012020 250015025 307710800 384638500 400024040 500030050 769277000 800048080 1000060100 1250075125 1538554000 2000120200 2500150250 4000240400 5000300500 10000601000 20001202000