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201010011210 = 23353126838951
BaseRepresentation
bin1011101100110100100…
…0010101110001001010
3201012211201210120102000
42323031020111301022
511243132030324320
6232202010051430
720344133622051
oct2731510256112
9635751716360
10201010011210
117827aa02608
1232b59a19b76
1315c55653048
149a2c2b7398
155366e81c90
hex2ecd215c4a

201010011210 has 128 divisors (see below), whose sum is σ = 553585950720. Its totient is φ = 51848424000.

The previous prime is 201010011199. The next prime is 201010011211. The reversal of 201010011210 is 12110010102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201010011192 and 201010011201.

It is not an unprimeable number, because it can be changed into a prime (201010011211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22452235 + ... + 22461185.

It is an arithmetic number, because the mean of its divisors is an integer number (4324890240).

Almost surely, 2201010011210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201010011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276792975360).

201010011210 is an abundant number, since it is smaller than the sum of its proper divisors (352575939510).

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

201010011210 is a wasteful number, since it uses less digits than its factorization.

201010011210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11681 (or 11675 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201010011210 its reverse (12110010102), we get a palindrome (213120021312).

The spelling of 201010011210 in words is "two hundred one billion, ten million, eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2683 2790 4185 5366 8049 8370 8951 13415 16098 17902 24147 26830 26853 40245 44755 48294 53706 72441 80490 80559 83173 89510 120735 134265 144882 161118 166346 241470 241677 249519 268530 277481 362205 402795 415865 483354 499038 554962 724410 748557 805590 831730 832443 1208385 1247595 1387405 1497114 1664886 2245671 2416770 2495190 2497329 2774810 3742785 4162215 4491342 4994658 7485570 7491987 8324430 11228355 12486645 14983974 22456710 24015533 24973290 37459935 48031066 72046599 74919870 120077665 144093198 216139797 240155330 360232995 432279594 648419391 720465990 744481523 1080698985 1296838782 1488963046 2161397970 2233444569 3242096955 3722407615 4466889138 6484193910 6700333707 7444815230 11167222845 13400667414 20101001121 22334445690 33501668535 40202002242 67003337070 100505005605 201010011210