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21223100113020 = 223251329312748307
BaseRepresentation
bin1001101001101011000110…
…10101111110000001111100
32210010220112100002221110200
410310311203111332001330
510240204402112104040
6113045431350203500
74320214130320131
oct464654325760174
983126470087420
1021223100113020
116842736801a23
122469219353590
13bac439610970
145352bc694588
1526c0dca59630
hex134d6357e07c

21223100113020 has 144 divisors (see below), whose sum is σ = 71719441990560. Its totient is φ = 5044004679168.

The previous prime is 21223100112971. The next prime is 21223100113021. The reversal of 21223100113020 is 2031100132212.

21223100113020 is a `hidden beast` number, since 21 + 22 + 310 + 0 + 11 + 302 + 0 = 666.

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 = 21223100112984 and 21223100113002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223100113021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156306294 + ... + 156442013.

It is an arithmetic number, because the mean of its divisors is an integer number (498051680490).

Almost surely, 221223100113020 is an apocalyptic number.

21223100113020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21223100113020 is an abundant number, since it is smaller than the sum of its proper divisors (50496341877540).

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

21223100113020 is a wasteful number, since it uses less digits than its factorization.

21223100113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312748364 (or 312748359 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21223100113020 its reverse (2031100132212), we get a palindrome (23254200245232).

The spelling of 21223100113020 in words is "twenty-one trillion, two hundred twenty-three billion, one hundred million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 468 522 580 585 754 780 870 1044 1131 1170 1305 1508 1740 1885 2262 2340 2610 3393 3770 4524 5220 5655 6786 7540 11310 13572 16965 22620 33930 67860 312748307 625496614 938244921 1250993228 1563741535 1876489842 2814734763 3127483070 3752979684 4065727991 4691224605 5629469526 6254966140 8131455982 9069700903 9382449210 11258939052 12197183973 14073673815 16262911964 18139401806 18764898420 20328639955 24394367946 27209102709 28147347630 36278803612 36591551919 40657279910 45348504515 48788735892 54418205418 56294695260 60985919865 73183103838 81314559820 81627308127 90697009030 108836410836 117906111739 121971839730 136045513545 146366207676 163254616254 181394018060 182957759595 235812223478 243943679460 272091027090 326509232508 353718335217 365915519190 408136540635 471624446956 544182054180 589530558695 707436670434 731831038380 816273081270 1061155005651 1179061117390 1414873340868 1632546162540 1768591676085 2122310011302 2358122234780 3537183352170 4244620022604 5305775028255 7074366704340 10611550056510 21223100113020