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22321331013120 = 293517170966077
BaseRepresentation
bin1010001001101000101110…
…00000011000011000000000
32221000220020221022010100220
411010310113000120120000
510411203041214404440
6115250140005543040
74462443251045046
oct504642700303000
987026227263326
1022321331013120
117126472493a87
122606034714a80
13c5bb7aa27759
14572502c0a396
1528a9680578d0
hex144d17018600

22321331013120 has 160 divisors (see below), whose sum is σ = 75556064647008. Its totient is φ = 5602216378368.

The previous prime is 22321331013109. The next prime is 22321331013253. The reversal of 22321331013120 is 2131013312322.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×223213310131203 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85352479 + ... + 85613598.

Almost surely, 222321331013120 is an apocalyptic number.

22321331013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22321331013120 is an abundant number, since it is smaller than the sum of its proper divisors (53234733633888).

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

22321331013120 is a wasteful number, since it uses less digits than its factorization.

22321331013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170966120 (or 170966104 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 22321331013120 its reverse (2131013312322), we get a palindrome (24452344325442).

The spelling of 22321331013120 in words is "twenty-two trillion, three hundred twenty-one billion, three hundred thirty-one million, thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 512 544 640 680 768 816 960 1020 1088 1280 1360 1536 1632 1920 2040 2176 2560 2720 3264 3840 4080 4352 5440 6528 7680 8160 8704 10880 13056 16320 21760 26112 32640 43520 65280 130560 170966077 341932154 512898231 683864308 854830385 1025796462 1367728616 1709660770 2051592924 2564491155 2735457232 2906423309 3419321540 4103185848 5128982310 5470914464 5812846618 6838643080 8206371696 8719269927 10257964620 10941828928 11625693236 13677286160 14532116545 16412743392 17438539854 20515929240 21883657856 23251386472 27354572320 29064233090 32825486784 34877079708 41031858480 43596349635 43767315712 46502772944 54709144640 58128466180 65650973568 69754159416 82063716960 87192699270 87534631424 93005545888 109418289280 116256932360 131301947136 139508318832 164127433920 174385398540 186011091776 218836578560 232513864720 262603894272 279016637664 328254867840 348770797080 372022183552 437673157120 465027729440 558033275328 656509735680 697541594160 744044367104 930055458880 1116066550656 1313019471360 1395083188320 1488088734208 1860110917760 2232133101312 2790166376640 3720221835520 4464266202624 5580332753280 7440443671040 11160665506560 22321331013120