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21322104100 = 225211179108289
BaseRepresentation
bin10011110110111001…
…010111110100100100
32001000222022010010021
4103312321113310210
5322131424312400
613443434404524
71353244615543
oct236671276444
961028263107
1021322104100
119051854440
124170890744
13201a58195b
141063b1c15a
1584bd7571a
hex4f6e57d24

21322104100 has 72 divisors (see below), whose sum is σ = 50757688800. Its totient is φ = 7710105600.

The previous prime is 21322104091. The next prime is 21322104109. The reversal of 21322104100 is 140122312.

It is an interprime number because it is at equal distance from previous prime (21322104091) and next prime (21322104109).

It is not an unprimeable number, because it can be changed into a prime (21322104109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142756 + ... + 251044.

It is an arithmetic number, because the mean of its divisors is an integer number (704967900).

Almost surely, 221322104100 is an apocalyptic number.

21322104100 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 21322104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25378844400).

21322104100 is an abundant number, since it is smaller than the sum of its proper divisors (29435584700).

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

21322104100 is a wasteful number, since it uses less digits than its factorization.

21322104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108493 (or 108486 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21322104100 its reverse (140122312), we get a palindrome (21462226412).

The spelling of 21322104100 in words is "twenty-one billion, three hundred twenty-two million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 179 220 275 358 550 716 895 1100 1790 1969 3580 3938 4475 7876 8950 9845 17900 19690 39380 49225 98450 108289 196900 216578 433156 541445 1082890 1191179 2165780 2382358 2707225 4764716 5414450 5955895 10828900 11911790 19383731 23823580 29779475 38767462 59558950 77534924 96918655 119117900 193837310 213221041 387674620 426442082 484593275 852884164 969186550 1066105205 1938373100 2132210410 4264420820 5330526025 10661052050 21322104100