Search a number
-
+
20210111022000 = 2435314207237091
BaseRepresentation
bin1001001100001100010000…
…11111010000001110110000
32122120001211101102022211110
410212012020133100032300
510122110301410201000
6110552221414313320
74154063251160064
oct446061037201660
978501741368743
1020210111022000
116492072882769
122324a31358840
13b37a612c2963
144dc263121aa4
15250aa0ce8850
hex1261887d03b0

20210111022000 has 160 divisors (see below), whose sum is σ = 65162259062784. Its totient is φ = 5388960864000.

The previous prime is 20210111021999. The next prime is 20210111022019. The reversal of 20210111022000 is 22011101202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85123455 + ... + 85360545.

Almost surely, 220210111022000 is an apocalyptic number.

20210111022000 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 20210111022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32581129531392).

20210111022000 is an abundant number, since it is smaller than the sum of its proper divisors (44952148040784).

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

20210111022000 is a wasteful number, since it uses less digits than its factorization.

20210111022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251324 (or 251308 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20210111022000 its reverse (22011101202), we get a palindrome (20232122123202).

The spelling of 20210111022000 in words is "twenty trillion, two hundred ten billion, one hundred eleven million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 14207 28414 42621 56828 71035 85242 113656 142070 170484 213105 227312 237091 284140 340968 355175 426210 474182 568280 681936 710350 711273 852420 948364 1065525 1136560 1185455 1420700 1422546 1704840 1775875 1896728 2131050 2370910 2841400 2845092 3409680 3551750 3556365 3793456 4262100 4741820 5327625 5682800 5690184 5927275 7103500 7112730 8524200 9483640 10655250 11380368 11854550 14207000 14225460 17048400 17781825 18967280 21310500 23709100 28414000 28450920 29636375 35563650 42621000 47418200 56901840 59272750 71127300 85242000 88909125 94836400 118545500 142254600 177818250 237091000 284509200 355636500 474182000 711273000 1422546000 3368351837 6736703674 10105055511 13473407348 16841759185 20210111022 26946814696 33683518370 40420222044 50525277555 53893629392 67367036740 80840444088 84208795925 101050555110 134734073480 161680888176 168417591850 202101110220 252626387775 269468146960 336835183700 404202220440 421043979625 505252775550 673670367400 808404440880 842087959250 1010505551100 1263131938875 1347340734800 1684175918500 2021011102200 2526263877750 3368351837000 4042022204400 5052527755500 6736703674000 10105055511000 20210111022000