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1011020330100 = 2235211437124879
BaseRepresentation
bin11101011011001011000…
…00011111010001110100
310120122121202010012101010
432231211200133101310
5113031032201030400
62052242322232220
7133021012004214
oct16554540372164
93518552105333
101011020330100
1135a85368a020
12143b387b5670
1374453490921
1436d0dcca244
151b473ebe450
hexeb6581f474

1011020330100 has 144 divisors (see below), whose sum is σ = 3265361003520. Its totient is φ = 239395900800.

The previous prime is 1011020330077. The next prime is 1011020330113. The reversal of 1011020330100 is 10330201101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 3420540 + ... + 3704339.

It is an arithmetic number, because the mean of its divisors is an integer number (22676118080).

Almost surely, 21011020330100 is an apocalyptic number.

1011020330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011020330100 is an abundant number, since it is smaller than the sum of its proper divisors (2254340673420).

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

1011020330100 is a wasteful number, since it uses less digits than its factorization.

1011020330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7124950 (or 7124943 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1011020330100 its reverse (10330201101), we get a palindrome (1021350531201).

It can be divided in two parts, 101 and 1020330100, that added together give a palindrome (1020330201).

The spelling of 1011020330100 in words is "one trillion, eleven billion, twenty million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 43 44 50 55 60 66 75 86 100 110 129 132 150 165 172 215 220 258 275 300 330 430 473 516 550 645 660 825 860 946 1075 1100 1290 1419 1650 1892 2150 2365 2580 2838 3225 3300 4300 4730 5676 6450 7095 9460 11825 12900 14190 23650 28380 35475 47300 70950 141900 7124879 14249758 21374637 28499516 35624395 42749274 71248790 78373669 85498548 106873185 142497580 156747338 178121975 213746370 235121007 306369797 313494676 356243950 391868345 427492740 470242014 534365925 612739594 712487900 783736690 919109391 940484028 1068731850 1175605035 1225479188 1531848985 1567473380 1838218782 1959341725 2137463700 2351210070 3063697970 3370067767 3676437564 3918683450 4595546955 4702420140 5878025175 6127395940 6740135534 7659244925 7837366900 9191093910 10110203301 11756050350 13480271068 15318489850 16850338835 18382187820 20220406602 22977734775 23512100700 30636979700 33700677670 40440813204 45955469550 50551016505 67401355340 84251694175 91910939100 101102033010 168503388350 202204066020 252755082525 337006776700 505510165050 1011020330100