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3003201301122 = 23211172338792029
BaseRepresentation
bin101011101100111100101…
…111110010101010000010
3101122002210021002020000100
4223230330233302222002
5343201024013113442
610215352430303230
7426655061603361
oct53547457625202
911562707066010
103003201301122
11a58717928690
1240605a057b16
1318a27bb35a19
14a54da13d7d8
15531c07ec84c
hex2bb3cbf2a82

3003201301122 has 96 divisors (see below), whose sum is σ = 7842817457280. Its totient is φ = 819287631360.

The previous prime is 3003201301091. The next prime is 3003201301147. The reversal of 3003201301122 is 2211031023003.

3003201301122 is a `hidden beast` number, since 30 + 0 + 320 + 1 + 301 + 12 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3003201301095 and 3003201301104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19318597 + ... + 19473432.

It is an arithmetic number, because the mean of its divisors is an integer number (81696015180).

Almost surely, 23003201301122 is an apocalyptic number.

3003201301122 is an abundant number, since it is smaller than the sum of its proper divisors (4839616156158).

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

3003201301122 is a wasteful number, since it uses less digits than its factorization.

3003201301122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38792088 (or 38792085 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3003201301122 its reverse (2211031023003), we get a palindrome (5214232324125).

The spelling of 3003201301122 in words is "three trillion, three billion, two hundred one million, three hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 23 33 34 46 51 66 69 99 102 138 153 187 198 207 253 306 374 391 414 506 561 759 782 1122 1173 1518 1683 2277 2346 3366 3519 4301 4554 7038 8602 12903 25806 38709 77418 38792029 77584058 116376087 232752174 349128261 426712319 659464493 698256522 853424638 892216667 1280136957 1318928986 1784433334 1978393479 2560273914 2676650001 3840410871 3956786958 5353300002 5935180437 7254109423 7680821742 8029950003 9814383337 11870360874 14508218846 15167683339 16059900006 19628766674 21762328269 29443150011 30335366678 43524656538 45503050017 58886300022 65286984807 88329450033 91006100034 130573969614 136509150051 166844516729 176658900066 273018300102 333689033458 500533550187 1001067100374 1501600650561 3003201301122