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2020122023100 = 2235234745742463
BaseRepresentation
bin11101011001011000101…
…001111101010010111100
321011010021202222112102220
4131121120221331102330
5231044202214214400
64144010425445340
7265643335610316
oct35313051752274
97133252875386
102020122023100
11709802243645
1228761a940850
1311865c2c3a0c
146dabb05a7b6
15378347ed7a0
hex1d658a7d4bc

2020122023100 has 144 divisors (see below), whose sum is σ = 5874695328768. Its totient is φ = 535958760960.

The previous prime is 2020122023047. The next prime is 2020122023111. The reversal of 2020122023100 is 13202210202.

It is a happy number.

It is a super-2 number, since 2×20201220231002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2020122023100.

It is a congruent number.

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, 47552469 + ... + 47594931.

Almost surely, 22020122023100 is an apocalyptic number.

2020122023100 is a gapful number since it is divisible by the number (20) 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 2020122023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937347664384).

2020122023100 is an abundant number, since it is smaller than the sum of its proper divisors (3854573305668).

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

2020122023100 is a wasteful number, since it uses less digits than its factorization.

2020122023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43284 (or 43277 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2020122023100 its reverse (13202210202), we get a palindrome (2033324233302).

The spelling of 2020122023100 in words is "two trillion, twenty billion, one hundred twenty-two million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 347 457 694 914 1041 1371 1388 1735 1828 2082 2285 2742 3470 4164 4570 5205 5484 6855 6940 8675 9140 10410 11425 13710 17350 20820 22850 26025 27420 34275 34700 42463 45700 52050 68550 84926 104100 127389 137100 158579 169852 212315 254778 317158 424630 475737 509556 634316 636945 792895 849260 951474 1061575 1273890 1585790 1902948 2123150 2378685 2547780 3171580 3184725 3964475 4246300 4757370 6369450 7928950 9514740 11893425 12738900 14734661 15857900 19405591 23786850 29469322 38811182 44203983 47573700 58216773 58938644 73673305 77622364 88407966 97027955 116433546 147346610 176815932 194055910 221019915 232867092 291083865 294693220 368366525 388111820 442039830 485139775 582167730 736733050 884079660 970279550 1105099575 1164335460 1455419325 1473466100 1940559100 2210199150 2910838650 4420398300 5821677300 6733740077 13467480154 20201220231 26934960308 33668700385 40402440462 67337400770 80804880924 101006101155 134674801540 168343501925 202012202310 336687003850 404024404620 505030505775 673374007700 1010061011550 2020122023100