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1001022333020 = 2254319945712799
BaseRepresentation
bin11101001000100011001…
…01001010000001011100
310112200210222010022201222
432210101211022001130
5112400043204124040
62043510250352512
7132215160303533
oct16442145120134
93480728108658
101001022333020
11356593012916
1214200842b738
137351c025018
143664212931a
151b08b3a9bb5
hexe91194a05c

1001022333020 has 96 divisors (see below), whose sum is σ = 2166743040000. Its totient is φ = 388249956864.

The previous prime is 1001022333011. The next prime is 1001022333097. The reversal of 1001022333020 is 203332201001.

It is a super-2 number, since 2×10010223330202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1001022333020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78204581 + ... + 78217379.

It is an arithmetic number, because the mean of its divisors is an integer number (22570240000).

Almost surely, 21001022333020 is an apocalyptic number.

1001022333020 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 1001022333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083371520000).

1001022333020 is an abundant number, since it is smaller than the sum of its proper divisors (1165720706980).

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

1001022333020 is a wasteful number, since it uses less digits than its factorization.

1001022333020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13507 (or 13505 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1001022333020 its reverse (203332201001), we get a palindrome (1204354534021).

The spelling of 1001022333020 in words is "one trillion, one billion, twenty-two million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 199 215 398 430 457 796 860 914 995 1828 1990 2285 3980 4570 8557 9140 12799 17114 19651 25598 34228 39302 42785 51196 63995 78604 85570 90943 98255 127990 171140 181886 196510 255980 363772 393020 454715 550357 909430 1100714 1818860 2201428 2547001 2751785 3910549 5094002 5503570 5849143 7821098 10188004 11007140 11698286 12735005 15642196 19552745 23396572 25470010 29245715 39105490 50940020 58491430 78210980 109521043 116982860 219042086 251513149 438084172 503026298 547605215 1006052596 1095210430 1163979457 1257565745 2190420860 2327958914 2515131490 4655917828 5030262980 5819897285 11639794570 23279589140 50051116651 100102233302 200204466604 250255583255 500511166510 1001022333020