Search a number
-
+
21000313202022 = 23271135051432277
BaseRepresentation
bin1001100011001100001000…
…01101010110010101100110
32202100121110221020020112200
410301212010031112111212
510223032120134431042
6112355224413355330
74265136223654230
oct461460415262546
982317427206480
1021000313202022
116767201364280
122432002498b46
13b944234204cb
145285c6113250
152663edd67c4c
hex131984356566

21000313202022 has 96 divisors (see below), whose sum is σ = 56729868459264. Its totient is φ = 5454458568000.

The previous prime is 21000313201963. The next prime is 21000313202053. The reversal of 21000313202022 is 22020231300012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21000313201986 and 21000313202004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48364548 + ... + 48796824.

It is an arithmetic number, because the mean of its divisors is an integer number (590936129784).

Almost surely, 221000313202022 is an apocalyptic number.

21000313202022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21000313202022 is an abundant number, since it is smaller than the sum of its proper divisors (35729555257242).

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

21000313202022 is a wasteful number, since it uses less digits than its factorization.

21000313202022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467354 (or 467351 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21000313202022 its reverse (22020231300012), we get a palindrome (43020544502034).

The spelling of 21000313202022 in words is "twenty-one trillion, three hundred thirteen million, two hundred two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 35051 70102 105153 210306 245357 315459 385561 432277 490714 630918 736071 771122 864554 1156683 1296831 1472142 2208213 2313366 2593662 2698927 3025939 3470049 3890493 4416426 4755047 5397854 6051878 6940098 7780986 8096781 9077817 9510094 14265141 16193562 18155634 24290343 27233451 28530282 33285329 42795423 48580686 54466902 66570658 85590846 99855987 199711974 299567961 599135922 15151741127 30303482254 45455223381 90910446762 106062187889 136365670143 166669152397 212124375778 272731340286 318186563667 333338304794 500007457191 636373127334 954559691001 1000014914382 1166684066779 1500022371573 1909119382002 2333368133558 3000044743146 3500052200337 7000104400674 10500156601011 21000313202022