Search a number
-
+
22311102300330 = 23531239120183579
BaseRepresentation
bin1010001001010101101010…
…10100111100000010101010
32220222220212002011200021110
411010222311110330002222
510411021114142102310
6115241325013051150
74461631625321004
oct504526524740252
986886762150243
1022311102300330
1171220a3665738
12260405b026ab6
13c5ac0a83bb8c
14571c1254d374
1528a56a06cd20
hex144ab553c0aa

22311102300330 has 128 divisors (see below), whose sum is σ = 55552108953600. Its totient is φ = 5728770432000.

The previous prime is 22311102300259. The next prime is 22311102300359. The reversal of 22311102300330 is 3300320111322.

It is a super-3 number, since 3×223111023003303 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22311102300297 and 22311102300306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266904481 + ... + 266988059.

It is an arithmetic number, because the mean of its divisors is an integer number (434000851200).

Almost surely, 222311102300330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22311102300330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27776054476800).

22311102300330 is an abundant number, since it is smaller than the sum of its proper divisors (33241006653270).

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

22311102300330 is a wasteful number, since it uses less digits than its factorization.

22311102300330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85060.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 22311102300330 its reverse (3300320111322), we get a palindrome (25611422411652).

The spelling of 22311102300330 in words is "twenty-two trillion, three hundred eleven billion, one hundred two million, three hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 239 310 465 478 717 930 1195 1201 1434 2390 2402 3585 3603 6005 7170 7206 7409 12010 14818 18015 22227 36030 37045 37231 44454 74090 74462 83579 111135 111693 167158 186155 222270 223386 250737 287039 372310 417895 501474 558465 574078 835790 861117 1116930 1253685 1435195 1722234 2507370 2590949 2870390 4305585 5181898 7772847 8611170 8898209 12954745 15545694 17796418 19975381 25909490 26694627 38864235 39950762 44491045 53389254 59926143 77728470 88982090 99876905 100378379 119852286 133473135 199753810 200756758 266946270 299630715 301135137 501891895 599261430 602270274 619236811 1003783790 1238473622 1505675685 1857710433 3011351370 3096184055 3111729749 3715420866 6192368110 6223459498 9288552165 9335189247 15558648745 18577104330 18670378494 23990432581 31117297490 46675946235 47980865162 71971297743 93351892470 119952162905 143942595486 239904325810 359856488715 719712977430 743703410011 1487406820022 2231110230033 3718517050055 4462220460066 7437034100110 11155551150165 22311102300330