Search a number
-
+
20000212320 = 2535113787919
BaseRepresentation
bin10010101000000110…
…110000010101100000
31220121211221001111110
4102220012300111200
5311430023243240
613104333543320
71305423666624
oct225006602540
956554831443
1020000212320
1185336645a0
123a62044b40
131b6975047a
14d7a33d184
157c0cadc80
hex4a81b0560

20000212320 has 96 divisors (see below), whose sum is σ = 68728020480. Its totient is φ = 4848535040.

The previous prime is 20000212319. The next prime is 20000212363. The reversal of 20000212320 is 2321200002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20000212296 and 20000212305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1888680 + ... + 1899239.

It is an arithmetic number, because the mean of its divisors is an integer number (715916880).

Almost surely, 220000212320 is an apocalyptic number.

20000212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20000212320 is an abundant number, since it is smaller than the sum of its proper divisors (48727808160).

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

20000212320 is a wasteful number, since it uses less digits than its factorization.

20000212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3787948 (or 3787940 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20000212320 its reverse (2321200002), we get a palindrome (22321412322).

The spelling of 20000212320 in words is "twenty billion, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 3787919 7575838 11363757 15151676 18939595 22727514 30303352 37879190 41667109 45455028 56818785 60606704 75758380 83334218 90910056 113637570 121213408 125001327 151516760 166668436 181820112 208335545 227275140 250002654 303033520 333336872 363640224 416671090 454550280 500005308 606067040 625006635 666673744 833342180 909100560 1000010616 1250013270 1333347488 1666684360 1818201120 2000021232 2500026540 3333368720 4000042464 5000053080 6666737440 10000106160 20000212320