Search a number
-
+
21000001203120 = 2435107077817169
BaseRepresentation
bin1001100011001011100011…
…00111001010101110110000
32202100120200012011001111210
410301211301213022232300
510223031000301444440
6112355133430240120
74265125415011362
oct461456147125660
982316605131453
1021000001203120
116767061234945
122431b35ab6040
13b943a38b1084
145285968d8d32
152663d1788a80
hex1319719cabb0

21000001203120 has 80 divisors (see below), whose sum is σ = 65100691369440. Its totient is φ = 5599941169152.

The previous prime is 21000001203101. The next prime is 21000001203121. The reversal of 21000001203120 is 2130210000012.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 21000001203096 and 21000001203105.

It is not an unprimeable number, because it can be changed into a prime (21000001203121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25289896 + ... + 26107064.

It is an arithmetic number, because the mean of its divisors is an integer number (813758642118).

Almost surely, 221000001203120 is an apocalyptic number.

21000001203120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000001203120 is an abundant number, since it is smaller than the sum of its proper divisors (44100690166320).

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

21000001203120 is a wasteful number, since it uses less digits than its factorization.

21000001203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924262 (or 924256 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21000001203120 its reverse (2130210000012), we get a palindrome (23130211203132).

The spelling of 21000001203120 in words is "twenty-one trillion, one million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 107077 214154 321231 428308 535385 642462 817169 856616 1070770 1284924 1606155 1634338 1713232 2141540 2451507 2569848 3212310 3268676 4085845 4283080 4903014 5139696 6424620 6537352 8171690 8566160 9806028 12257535 12849240 13074704 16343380 19612056 24515070 25698480 32686760 39224112 49030140 65373520 98060280 196120560 87500005013 175000010026 262500015039 350000020052 437500025065 525000030078 700000040104 875000050130 1050000060156 1312500075195 1400000080208 1750000100260 2100000120312 2625000150390 3500000200520 4200000240624 5250000300780 7000000401040 10500000601560 21000001203120