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202013101202004 = 2232191933458344249
BaseRepresentation
bin101101111011101011010111…
…001000110001101001010100
3222111021021010100200221001100
4231323223113020301221110
5202434240312401431004
61553351312034430100
760356651653230021
oct5573532710615124
9874237110627040
10202013101202004
1159405303181104
121a7a75aaa32330
1388949a4b69891
1437c56b4464548
151854c5730e739
hexb7bad7231a54

202013101202004 has 144 divisors (see below), whose sum is σ = 540333153360000. Its totient is φ = 63459804782592.

The previous prime is 202013101201991. The next prime is 202013101202009. The reversal of 202013101202004 is 400202101310202.

It is a happy number.

It is a super-2 number, since 2×2020131012020042 (a number of 29 digits) contains 22 as substring.

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 (202013101202009) 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, 4565348872 + ... + 4565393120.

It is an arithmetic number, because the mean of its divisors is an integer number (3752313565000).

Almost surely, 2202013101202004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202013101202004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270166576680000).

202013101202004 is an abundant number, since it is smaller than the sum of its proper divisors (338320052157996).

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

202013101202004 is a wasteful number, since it uses less digits than its factorization.

202013101202004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79054 (or 79049 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202013101202004 its reverse (400202101310202), we get a palindrome (602215202512206).

The spelling of 202013101202004 in words is "two hundred two trillion, thirteen billion, one hundred one million, two hundred two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 193 228 342 386 579 684 772 1158 1737 2316 3474 3667 6948 7334 11001 14668 22002 33003 34583 44004 44249 66006 69166 88498 103749 132012 132747 138332 176996 207498 265494 311247 398241 414996 530988 622494 657077 796482 840731 1244988 1314154 1592964 1681462 1971231 2522193 2628308 3362924 3942462 5044386 5913693 6674519 7566579 7884924 8540057 10088772 11827386 13349038 15133158 17080114 20023557 23654772 25620171 26698076 30266316 34160228 40047114 51240342 60070671 76860513 80094228 102480684 120141342 126815861 153721026 162261083 240282684 253631722 307442052 324522166 380447583 486783249 507263444 649044332 760895166 973566498 1141342749 1460349747 1521790332 1530263167 1947132996 2282685498 2920699494 3060526334 4565370996 4590789501 5841398988 6121052668 9181579002 13772368503 18363158004 27544737006 29075000173 55089474012 58150000346 87225000519 116300000692 174450001038 261675001557 295340791231 348900002076 523350003114 590681582462 886022373693 1046700006228 1181363164924 1772044747386 2658067121079 3544089494772 5316134242158 5611475033389 10632268484316 11222950066778 16834425100167 22445900133556 33668850200334 50503275300501 67337700400668 101006550601002 202013101202004