Search a number
-
+
20302021200 = 2435218619091
BaseRepresentation
bin10010111010000110…
…000100001001010000
31221101212211112110010
4102322012010021100
5313034304134300
613154314434520
71316050222116
oct227206041120
957355745403
1020302021200
118678a6401a
123b27132a40
131bb71326c6
14da8463ab6
157dc528a50
hex4ba184250

20302021200 has 120 divisors (see below), whose sum is σ = 65076244576. Its totient is φ = 5410368000.

The previous prime is 20302021199. The next prime is 20302021217. The reversal of 20302021200 is 212020302.

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

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

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, 2228655 + ... + 2237745.

Almost surely, 220302021200 is an apocalyptic number.

20302021200 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 20302021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32538122288).

20302021200 is an abundant number, since it is smaller than the sum of its proper divisors (44774223376).

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

20302021200 is a wasteful number, since it uses less digits than its factorization.

20302021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10973 (or 10962 counting only the distinct ones).

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

Adding to 20302021200 its reverse (212020302), we get a palindrome (20514041502).

The spelling of 20302021200 in words is "twenty billion, three hundred two million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1861 3722 5583 7444 9091 9305 11166 14888 18182 18610 22332 27273 27915 29776 36364 37220 44664 45455 46525 54546 55830 72728 74440 89328 90910 93050 109092 111660 136365 139575 145456 148880 181820 186100 218184 223320 227275 272730 279150 363640 372200 436368 446640 454550 545460 558300 681825 727280 744400 909100 1090920 1116600 1363650 1818200 2181840 2233200 2727300 3636400 5454600 10909200 16918351 33836702 50755053 67673404 84591755 101510106 135346808 169183510 203020212 253775265 270693616 338367020 406040424 422958775 507550530 676734040 812080848 845917550 1015101060 1268876325 1353468080 1691835100 2030202120 2537752650 3383670200 4060404240 5075505300 6767340400 10151010600 20302021200