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22201141201020 = 22325236047886819
BaseRepresentation
bin1010000110001000110110…
…01000101000100001111100
32220121102000200222001121200
411003010123020220201330
510402220414121413040
6115115021413055500
74450656655356435
oct503043310504174
986542020861550
1022201141201020
11708a4a6475261
1225a6891327590
13c50735412342
1456a7805b448c
152877815ab630
hex14311b22887c

22201141201020 has 144 divisors (see below), whose sum is σ = 70283138365440. Its totient is φ = 5661956919168.

The previous prime is 22201141200967. The next prime is 22201141201037. The reversal of 22201141201020 is 2010214110222.

22201141201020 is a `hidden beast` number, since 2 + 220 + 1 + 1 + 412 + 0 + 10 + 20 = 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 = 22201141200984 and 22201141201002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24591171 + ... + 25477989.

It is an arithmetic number, because the mean of its divisors is an integer number (488077349760).

Almost surely, 222201141201020 is an apocalyptic number.

22201141201020 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 22201141201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35141569182720).

22201141201020 is an abundant number, since it is smaller than the sum of its proper divisors (48081997164420).

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

22201141201020 is a wasteful number, since it uses less digits than its factorization.

22201141201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892904 (or 892899 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22201141201020 its reverse (2010214110222), we get a palindrome (24211355311242).

The spelling of 22201141201020 in words is "twenty-two trillion, two hundred one billion, one hundred forty-one million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 6047 12094 18141 24188 30235 36282 54423 60470 72564 90705 108846 120940 139081 181410 217692 272115 278162 362820 417243 544230 556324 695405 834486 886819 1088460 1251729 1390810 1668972 1773638 2086215 2503458 2660457 2781620 3547276 4172430 4434095 5006916 5320914 6258645 7981371 8344860 8868190 10641828 12517290 13302285 15962742 17736380 20396837 25034580 26604570 31925484 39906855 40793674 53209140 61190511 79813710 81587348 101984185 122381022 159627420 183571533 203968370 244762044 305952555 367143066 407936740 611905110 734286132 917857665 1223810220 1835715330 3671430660 5362594493 10725188986 16087783479 21450377972 26812972465 32175566958 48263350437 53625944930 64351133916 80438917395 96526700874 107251889860 123339673339 160877834790 193053401748 241316752185 246679346678 321755669580 370019020017 482633504370 493358693356 616698366695 740038040034 965267008740 1110057060051 1233396733390 1480076080068 1850095100085 2220114120102 2466793466780 3700190200170 4440228240204 5550285300255 7400380400340 11100570600510 22201141201020