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223133230133132 = 2211437791303481
BaseRepresentation
bin110010101111000001000000…
…111010110110111110001100
31002021001022212110100211221112
4302233001000322312332030
5213221303323403230012
62110321554003151152
764666562311132604
oct6257010072667614
91067038773324845
10223133230133132
11651082a9380000
122103886b3754b8
1397674b12365c7
143d159c5233c04
151abe319d7e122
hexcaf040eb6f8c

223133230133132 has 120 divisors (see below), whose sum is σ = 446722051540800. Its totient is φ = 97433774380800.

The previous prime is 223133230133117. The next prime is 223133230133147. The reversal of 223133230133132 is 231331032331322.

It is a happy number.

223133230133132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223133230133117) and next prime (223133230133147).

It is a super-3 number, since 3×2231332301331323 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 170530832 + ... + 171834312.

It is an arithmetic number, because the mean of its divisors is an integer number (3722683762840).

Almost surely, 2223133230133132 is an apocalyptic number.

223133230133132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

223133230133132 is an abundant number, since it is smaller than the sum of its proper divisors (223588821407668).

223133230133132 is a wasteful number, since it uses less digits than its factorization.

223133230133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303645 (or 1303610 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 32.

Adding to 223133230133132 its reverse (231331032331322), we get a palindrome (454464262464454).

The spelling of 223133230133132 in words is "two hundred twenty-three trillion, one hundred thirty-three billion, two hundred thirty million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 37 44 74 79 121 148 158 242 316 407 484 814 869 1331 1628 1738 2662 2923 3476 4477 5324 5846 8954 9559 11692 14641 17908 19118 29282 32153 38236 49247 58564 64306 98494 105149 128612 196988 210298 353683 420596 541717 707366 1083434 1156639 1303481 1414732 2166868 2313278 2606962 3890513 4626556 5213924 7781026 14338291 15562052 28676582 42795643 48228797 57353164 85591286 96457594 102974999 157721201 171182572 192915188 205949998 315442402 411899996 530516767 630884804 1061033534 1132724989 1734933211 2122067068 2265449978 3469866422 3810074963 4530899956 5835684437 6939732844 7620149926 11671368874 12459974879 15240299852 19084265321 23342737748 24919949758 38168530642 41910824593 49839899516 64192528807 76337061284 83821649186 128385057614 137059723669 167643298372 256770115228 274119447338 461019070523 548238894676 706117816877 922038141046 1412235633754 1507656960359 1844076282092 2824471267508 3015313920718 5071209775753 6030627841436 10142419551506 20284839103012 55783307533283 111566615066566 223133230133132