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22120101100020 = 22357114787900671
BaseRepresentation
bin1010000011110001111001…
…10001001011100111110100
32220022122211212201101021110
411001320330301023213310
510344403431340200040
6115013500102315020
74442060504025420
oct501707461134764
986278755641243
1022120101100020
11705909a445980
122593035128a70
13c45bbb96c861
1456689364db80
152855dbb39980
hex141e3cc4b9f4

22120101100020 has 96 divisors (see below), whose sum is σ = 77219262038016. Its totient is φ = 4596384643200.

The previous prime is 22120101099983. The next prime is 22120101100037. The reversal of 22120101100020 is 2000110102122.

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 = 22120101099969 and 22120101100005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2393945716 + ... + 2393954955.

It is an arithmetic number, because the mean of its divisors is an integer number (804367312896).

Almost surely, 222120101100020 is an apocalyptic number.

22120101100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120101100020 is an abundant number, since it is smaller than the sum of its proper divisors (55099160937996).

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

22120101100020 is a wasteful number, since it uses less digits than its factorization.

22120101100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787900701 (or 4787900699 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22120101100020 its reverse (2000110102122), we get a palindrome (24120211202142).

The spelling of 22120101100020 in words is "twenty-two trillion, one hundred twenty billion, one hundred one million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 4787900671 9575801342 14363702013 19151602684 23939503355 28727404026 33515304697 47879006710 52666907381 57454808052 67030609394 71818510065 95758013420 100545914091 105333814762 134061218788 143637020130 158000722143 167576523485 201091828182 210667629524 263334536905 287274040260 316001444286 335153046970 368668351667 402183656364 502729570455 526669073810 632002888572 670306093940 737336703334 790003610715 1005459140910 1053338147620 1106005055001 1474673406668 1580007221430 1843341758335 2010918281820 2212010110002 3160014442860 3686683516670 4424020220004 5530025275005 7373367033340 11060050550010 22120101100020