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10023302211020 = 2257273967144889
BaseRepresentation
bin1001000111011011101101…
…0111100010010111001100
31022111012220011110012222222
42101312323113202113030
52303210210331223040
633152350320154512
72053105526022500
oct221667327422714
938435804405888
1010023302211020
11321494987805a
12115a6bb768a38
13579268a0a977
142691b7c08300
15125ae0a4bbb5
hex91dbb5e25cc

10023302211020 has 144 divisors (see below), whose sum is σ = 24846752589120. Its totient is φ = 3385956059136.

The previous prime is 10023302210993. The next prime is 10023302211031. The reversal of 10023302211020 is 2011220332001.

It is a self number, because there is not a number n which added to its sum of digits gives 10023302211020.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69106736 + ... + 69251624.

It is an arithmetic number, because the mean of its divisors is an integer number (172546892980).

Almost surely, 210023302211020 is an apocalyptic number.

10023302211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023302211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12423376294560).

10023302211020 is an abundant number, since it is smaller than the sum of its proper divisors (14823450378100).

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

10023302211020 is a wasteful number, since it uses less digits than its factorization.

10023302211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145952 (or 145943 counting only the distinct ones).

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

Adding to 10023302211020 its reverse (2011220332001), we get a palindrome (12034522543021).

The spelling of 10023302211020 in words is "ten trillion, twenty-three billion, three hundred two million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 73 98 140 146 196 245 292 365 490 511 730 967 980 1022 1460 1934 2044 2555 3577 3868 4835 5110 6769 7154 9670 10220 13538 14308 17885 19340 27076 33845 35770 47383 67690 70591 71540 94766 135380 141182 144889 189532 236915 282364 289778 352955 473830 494137 579556 705910 724445 947660 988274 1014223 1411820 1448890 1976548 2028446 2470685 2897780 3458959 4056892 4941370 5071115 6917918 7099561 9882740 10142230 10576897 13835836 14199122 17294795 20284460 21153794 28398244 34589590 35497805 42307588 52884485 69179180 70995610 74038279 105768970 140107663 141991220 148076558 211537940 280215326 296153116 370191395 518267953 560430652 700538315 740382790 980753641 1036535906 1401076630 1480765580 1961507282 2073071812 2591339765 2802153260 3923014564 4903768205 5182679530 6865275487 9807536410 10227859399 10365359060 13730550974 19615072820 20455718798 27461101948 34326377435 40911437596 51139296995 68652754870 71595015793 102278593990 137305509740 143190031586 204557187980 286380063172 357975078965 501165110551 715950157930 1002330221102 1431900315860 2004660442204 2505825552755 5011651105510 10023302211020