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22101314300040 = 23353718127501511
BaseRepresentation
bin1010000011001110111001…
…11111001110100010001000
32220020212100121001001120210
411001213130333032202020
510344101442430100130
6115001111552121120
74440524112615003
oct501473477164210
986225317031523
1022101314300040
117051129818aa8
12258b4715361a0
13c441b672b671
145659d053253a
15284d8c6655b0
hex1419dcfce888

22101314300040 has 128 divisors (see below), whose sum is σ = 68472164517120. Its totient is φ = 5702713113600.

The previous prime is 22101314299997. The next prime is 22101314300047. The reversal of 22101314300040 is 4000341310122.

It is not an unprimeable number, because it can be changed into a prime (22101314300047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12947116 + ... + 14554395.

It is an arithmetic number, because the mean of its divisors is an integer number (534938785290).

Almost surely, 222101314300040 is an apocalyptic number.

22101314300040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101314300040 is an abundant number, since it is smaller than the sum of its proper divisors (46370850217080).

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

22101314300040 is a wasteful number, since it uses less digits than its factorization.

22101314300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27501743 (or 27501739 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22101314300040 its reverse (4000341310122), we get a palindrome (26101655610162).

The spelling of 22101314300040 in words is "twenty-two trillion, one hundred one billion, three hundred fourteen million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 181 185 222 296 362 370 444 543 555 724 740 888 905 1086 1110 1448 1480 1810 2172 2220 2715 3620 4344 4440 5430 6697 7240 10860 13394 20091 21720 26788 33485 40182 53576 66970 80364 100455 133940 160728 200910 267880 401820 803640 27501511 55003022 82504533 110006044 137507555 165009066 220012088 275015110 330018132 412522665 550030220 660036264 825045330 1017555907 1100060440 1650090660 2035111814 3052667721 3300181320 4070223628 4977773491 5087779535 6105335442 8140447256 9955546982 10175559070 12210670884 14933320473 15263338605 19911093964 20351118140 24421341768 24888867455 29866640946 30526677210 39822187928 40702236280 49777734910 59733281892 61053354420 74666602365 99555469820 119466563784 122106708840 149333204730 184177619167 199110939640 298666409460 368355238334 552532857501 597332818920 736710476668 920888095835 1105065715002 1473420953336 1841776191670 2210131430004 2762664287505 3683552383340 4420262860008 5525328575010 7367104766680 11050657150020 22101314300040