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100322201321000 = 2353197174367829
BaseRepresentation
bin10110110011111000010101…
…001011000011111000101000
3111011012201010200221111222222
4112303320111023003320220
5101122134332014233000
6553211214423133212
730063016446162161
oct2663702513037050
9434181120844888
10100322201321000
1129a6945228454a
12b3031462a4208
1343c945c724189
141aab89873c768
15b8e9260c7a85
hex5b3e152c3e28

100322201321000 has 128 divisors (see below), whose sum is σ = 250589839968000. Its totient is φ = 37481385312000.

The previous prime is 100322201320993. The next prime is 100322201321051. The reversal of 100322201321000 is 123102223001.

It is a self number, because there is not a number n which added to its sum of digits gives 100322201321000.

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 31 ways as a sum of consecutive naturals, for example, 35834915 + ... + 38532914.

It is an arithmetic number, because the mean of its divisors is an integer number (1957733124750).

Almost surely, 2100322201321000 is an apocalyptic number.

100322201321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100322201321000 is an abundant number, since it is smaller than the sum of its proper divisors (150267638647000).

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

100322201321000 is a wasteful number, since it uses less digits than its factorization.

100322201321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74367940 (or 74367926 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100322201321000 its reverse (123102223001), we get a palindrome (100445303544001).

The spelling of 100322201321000 in words is "one hundred trillion, three hundred twenty-two billion, two hundred one million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 71 76 95 100 125 142 152 190 200 250 284 355 380 475 500 568 710 760 950 1000 1349 1420 1775 1900 2375 2698 2840 3550 3800 4750 5396 6745 7100 8875 9500 10792 13490 14200 17750 19000 26980 33725 35500 53960 67450 71000 134900 168625 269800 337250 674500 1349000 74367829 148735658 297471316 371839145 594942632 743678290 1412988751 1487356580 1859195725 2825977502 2974713160 3718391450 5280115859 5651955004 7064943755 7436782900 9295978625 10560231718 11303910008 14129887510 14873565800 18591957250 21120463436 26400579295 28259775020 35324718775 37183914500 42240926872 52801158590 56519550040 70649437550 74367829000 100322201321 105602317180 132002896475 141298875100 176623593875 200644402642 211204634360 264005792950 282597750200 353247187750 401288805284 501611006605 528011585900 660014482375 706494375500 802577610568 1003222013210 1056023171800 1320028964750 1412988751000 2006444026420 2508055033025 2640057929500 4012888052840 5016110066050 5280115859000 10032220132100 12540275165125 20064440264200 25080550330250 50161100660500 100322201321000