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2021202000144 = 2432671091921967
BaseRepresentation
bin11101011010011001000…
…001101111100100010000
321011020002001011001102200
4131122121001233210100
5231103410203001034
64144305525243200
7266012161350405
oct35323101574420
97136061131380
102021202000144
1170a206922358
12287880563500
131187a1c839a2
146db806662ac
153789952ba99
hex1d69906f910

2021202000144 has 120 divisors (see below), whose sum is σ = 5793657217920. Its totient is φ = 657589135104.

The previous prime is 2021202000143. The next prime is 2021202000157. The reversal of 2021202000144 is 4410002021202.

2021202000144 is a `hidden beast` number, since 202 + 120 + 200 + 0 + 144 = 666.

It is a super-2 number, since 2×20212020001442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2021202000143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90649 + ... + 2012615.

It is an arithmetic number, because the mean of its divisors is an integer number (48280476816).

Almost surely, 22021202000144 is an apocalyptic number.

2021202000144 is a gapful number since it is divisible by the number (24) 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 2021202000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896828608960).

2021202000144 is an abundant number, since it is smaller than the sum of its proper divisors (3772455217776).

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

2021202000144 is a wasteful number, since it uses less digits than its factorization.

2021202000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922157 (or 1922148 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2021202000144 its reverse (4410002021202), we get a palindrome (6431204021346).

The spelling of 2021202000144 in words is "two trillion, twenty-one billion, two hundred two million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 109 134 144 201 218 268 327 402 436 536 603 654 804 872 981 1072 1206 1308 1608 1744 1962 2412 2616 3216 3924 4824 5232 7303 7848 9648 14606 15696 21909 29212 43818 58424 65727 87636 116848 131454 175272 262908 350544 525816 1051632 1921967 3843934 5765901 7687868 11531802 15375736 17297703 23063604 30751472 34595406 46127208 69190812 92254416 128771789 138381624 209494403 257543578 276763248 386315367 418988806 515087156 628483209 772630734 837977612 1030174312 1158946101 1256966418 1545261468 1675955224 1885449627 2060348624 2317892202 2513932836 3090522936 3351910448 3770899254 4635784404 5027865672 6181045872 7541798508 9271568808 10055731344 14036125001 15083597016 18543137616 28072250002 30167194032 42108375003 56144500004 84216750006 112289000008 126325125009 168433500012 224578000016 252650250018 336867000024 505300500036 673734000048 1010601000072 2021202000144