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2021002201000 = 235353283713441
BaseRepresentation
bin11101011010001101000…
…111100100011110101000
321011012120010012012112101
4131122031013210132220
5231103003030413000
64144234031023144
7266004214160536
oct35321507443650
97135503165471
102021002201000
1170a1140672a2
1228782566aab4
1311876c769c43
146db61cd7156
1537886c11e6a
hex1d68d1e47a8

2021002201000 has 128 divisors (see below), whose sum is σ = 4820431318560. Its totient is φ = 792809472000.

The previous prime is 2021002200979. The next prime is 2021002201007. The reversal of 2021002201000 is 1022001202.

It can be written as a sum of positive squares in 16 ways, for example, as 645396929956 + 1375605271044 = 803366^2 + 1172862^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2021002201007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150354280 + ... + 150367720.

Almost surely, 22021002201000 is an apocalyptic number.

2021002201000 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 2021002201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410215659280).

2021002201000 is an abundant number, since it is smaller than the sum of its proper divisors (2799429117560).

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

2021002201000 is a wasteful number, since it uses less digits than its factorization.

2021002201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16352 (or 16338 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2021002201000 its reverse (1022001202), we get a palindrome (2022024202202).

The spelling of 2021002201000 in words is "two trillion, twenty-one billion, two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 1000 1060 1325 2120 2650 2837 5300 5674 6625 10600 11348 13250 13441 14185 22696 26500 26882 28370 53000 53764 56740 67205 70925 107528 113480 134410 141850 150361 268820 283700 300722 336025 354625 537640 567400 601444 672050 709250 712373 751805 1202888 1344100 1418500 1424746 1503610 1680125 2688200 2837000 2849492 3007220 3360250 3561865 3759025 5698984 6014440 6720500 7123730 7518050 13441000 14247460 15036100 17809325 18795125 28494920 30072200 35618650 37590250 38132117 71237300 75180500 76264234 89046625 142474600 150361000 152528468 178093250 190660585 305056936 356186500 381321170 712373000 762642340 953302925 1525284680 1906605850 2021002201 3813211700 4042004402 4766514625 7626423400 8084008804 9533029250 10105011005 16168017608 19066058500 20210022010 38132117000 40420044020 50525055025 80840088040 101050110050 202100220100 252625275125 404200440200 505250550250 1010501100500 2021002201000