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1210020241140 = 2232527135370271
BaseRepresentation
bin10001100110111010110…
…100111001111011110100
311021200021101120002201200
4101212322310321323310
5124311110140204030
62323513045052500
7153264300230034
oct21467264717364
94250241502650
101210020241140
11427191976617
121766153b7130
138a148541289
14427cb2398c4
152171e745d60
hex119bad39ef4

1210020241140 has 144 divisors (see below), whose sum is σ = 3694427283456. Its totient is φ = 320566118400.

The previous prime is 1210020241103. The next prime is 1210020241141. The reversal of 1210020241140 is 411420200121.

1210020241140 is a `hidden beast` number, since 1 + 2 + 10 + 0 + 202 + 411 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210020241141) 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, 17184205 + ... + 17254475.

It is an arithmetic number, because the mean of its divisors is an integer number (25655745024).

Almost surely, 21210020241140 is an apocalyptic number.

1210020241140 is a gapful number since it is divisible by the number (10) 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 1210020241140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847213641728).

1210020241140 is an abundant number, since it is smaller than the sum of its proper divisors (2484407042316).

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

1210020241140 is a wasteful number, since it uses less digits than its factorization.

1210020241140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70910 (or 70905 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1210020241140 its reverse (411420200121), we get a palindrome (1621440441261).

The spelling of 1210020241140 in words is "one trillion, two hundred ten billion, twenty million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 271 353 542 706 813 1059 1084 1355 1412 1626 1765 2118 2439 2710 3177 3252 3530 4065 4236 4878 5295 5420 6354 7060 8130 9756 10590 12195 12708 15885 16260 21180 24390 31770 48780 63540 70271 95663 140542 191326 210813 281084 286989 351355 382652 421626 478315 573978 632439 702710 843252 860967 956630 1054065 1147956 1264878 1405420 1434945 1721934 1913260 2108130 2529756 2869890 3162195 3443868 4216260 4304835 5739780 6324390 8609670 12648780 17219340 19043441 24805663 38086882 49611326 57130323 74416989 76173764 95217205 99222652 114260646 124028315 148833978 171390969 190434410 223250967 228521292 248056630 285651615 297667956 342781938 372084945 380868820 446501934 496113260 571303230 685563876 744169890 856954845 893003868 1116254835 1142606460 1488339780 1713909690 2232509670 3427819380 4465019340 6722334673 13444669346 20167004019 26889338692 33611673365 40334008038 60501012057 67223346730 80668016076 100835020095 121002024114 134446693460 201670040190 242004048228 302505060285 403340080380 605010120570 1210020241140