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22312201011330 = 23529307100982793
BaseRepresentation
bin1010001001010111101101…
…10100001100000010000010
32221000000200122120222102110
411010223312310030002002
510411030341424330310
6115242030022200150
74462001066235036
oct504536664140202
987000618528373
1022312201011330
11712260787a55a
122604306b83056
13c5b05435ac29
14571cb84341c6
1528a5d174bd20
hex144af6d0c082

22312201011330 has 128 divisors (see below), whose sum is σ = 55632004243200. Its totient is φ = 5720294006784.

The previous prime is 22312201011329. The next prime is 22312201011337. The reversal of 22312201011330 is 3311010221322.

It is a super-3 number, since 3×223122010113303 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22312201011297 and 22312201011306.

It is not an unprimeable number, because it can be changed into a prime (22312201011337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269452414 + ... + 269535206.

It is an arithmetic number, because the mean of its divisors is an integer number (434625033150).

Almost surely, 222312201011330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22312201011330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27816002121600).

22312201011330 is an abundant number, since it is smaller than the sum of its proper divisors (33319803231870).

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

22312201011330 is a wasteful number, since it uses less digits than its factorization.

22312201011330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84148.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 22312201011330 its reverse (3311010221322), we get a palindrome (25623211232652).

The spelling of 22312201011330 in words is "twenty-two trillion, three hundred twelve billion, two hundred one million, eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 307 435 614 870 921 1009 1535 1842 2018 3027 3070 4605 5045 6054 8903 9210 10090 15135 17806 26709 29261 30270 44515 53418 58522 82793 87783 89030 133545 146305 165586 175566 248379 267090 292610 309763 413965 438915 496758 619526 827930 877830 929289 1241895 1548815 1858578 2400997 2483790 3097630 4646445 4801994 7202991 8983127 9292890 12004985 14405982 17966254 24009970 25417451 26949381 36014955 44915635 50834902 53898762 72029910 76252353 83538137 89831270 127087255 134746905 152504706 167076274 250614411 254174510 269493810 381261765 417690685 501228822 737106079 762523530 835381370 1253072055 1474212158 2211318237 2422605973 2506144110 3685530395 4422636474 4845211946 7267817919 7371060790 11056591185 12113029865 14535635838 22113182370 24226059730 25646208059 36339089595 51292416118 72678179190 76938624177 128231040295 153877248354 256462080590 384693120885 743740033711 769386241770 1487480067422 2231220101133 3718700168555 4462440202266 7437400337110 11156100505665 22312201011330