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21101222320 = 245737945737
BaseRepresentation
bin10011101001101110…
…110001100110110000
32000110120200011021121
4103221232301212300
5321203403103240
613405504232024
71344623300413
oct235156614660
960416604247
1021101222320
118a490a9712
12410a90b614
131cb3895a89
141042661b7a
1583779404a
hex4e9bb19b0

21101222320 has 80 divisors (see below), whose sum is σ = 50363026560. Its totient is φ = 8219308032.

The previous prime is 21101222291. The next prime is 21101222357. The reversal of 21101222320 is 2322210112.

It is a happy number.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 21101222294 and 21101222303.

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, 438492 + ... + 484228.

It is an arithmetic number, because the mean of its divisors is an integer number (629537832).

Almost surely, 221101222320 is an apocalyptic number.

21101222320 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 21101222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25181513280).

21101222320 is an abundant number, since it is smaller than the sum of its proper divisors (29261804240).

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

21101222320 is a wasteful number, since it uses less digits than its factorization.

21101222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45902 (or 45896 counting only the distinct ones).

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

Adding to 21101222320 its reverse (2322210112), we get a palindrome (23423432432).

It can be divided in two parts, 211012 and 22320, that added together give a palindrome (233332).

The spelling of 21101222320 in words is "twenty-one billion, one hundred one million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 79 80 146 158 292 316 365 395 584 632 730 790 1168 1264 1460 1580 2920 3160 5767 5840 6320 11534 23068 28835 45737 46136 57670 91474 92272 115340 182948 228685 230680 365896 457370 461360 731792 914740 1829480 3338801 3613223 3658960 6677602 7226446 13355204 14452892 16694005 18066115 26710408 28905784 33388010 36132230 53420816 57811568 66776020 72264460 133552040 144528920 263765279 267104080 289057840 527530558 1055061116 1318826395 2110122232 2637652790 4220244464 5275305580 10550611160 21101222320