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2021044011100 = 2252314094393631
BaseRepresentation
bin11101011010001111100…
…111000100000001011100
321011012200000212101012121
4131122033213010001130
5231103044231323400
64144242123112324
7266005232435062
oct35321747040134
97135600771177
102021044011100
1170a1357238a4
122878376726a4
1311877831864a
146db6769c032
153788a72021a
hex1d68f9c405c

2021044011100 has 144 divisors (see below), whose sum is σ = 4549797683200. Its totient is φ = 778434624000.

The previous prime is 2021044011067. The next prime is 2021044011109. The reversal of 2021044011100 is 11104401202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021044011109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 556606285 + ... + 556609915.

Almost surely, 22021044011100 is an apocalyptic number.

2021044011100 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 2021044011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274898841600).

2021044011100 is an abundant number, since it is smaller than the sum of its proper divisors (2528753672100).

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

2021044011100 is a wasteful number, since it uses less digits than its factorization.

2021044011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2021044011100 its reverse (11104401202), we get a palindrome (2032148412302).

The spelling of 2021044011100 in words is "two trillion, twenty-one billion, forty-four million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 409 439 620 775 818 878 1550 1636 1756 2045 2195 3100 3631 4090 4390 7262 8180 8780 10225 10975 12679 13609 14524 18155 20450 21950 25358 27218 36310 40900 43900 50716 54436 63395 68045 72620 90775 112561 126790 136090 179551 181550 225122 253580 272180 316975 340225 359102 363100 450244 562805 633950 680450 718204 897755 1125610 1267900 1360900 1485079 1594009 1795510 2251220 2814025 2970158 3188018 3591020 4488775 5566081 5628050 5940316 6376036 7425395 7970045 8977550 11132162 11256100 14850790 15940090 17955100 22264324 27830405 29701580 31880180 37126975 39850225 46037449 49414279 55660810 74253950 79700450 92074898 98828558 111321620 139152025 148507900 159400900 184149796 197657116 230187245 247071395 278304050 460374490 494142790 556608100 651949681 920748980 988285580 1150936225 1235356975 1303899362 2301872450 2470713950 2607798724 3259748405 4603744900 4941427900 6519496810 13038993620 16298742025 20210440111 32597484050 40420880222 65194968100 80841760444 101052200555 202104401110 404208802220 505261002775 1010522005550 2021044011100