Search a number
-
+
1101020001210 = 232537734529269
BaseRepresentation
bin10000000001011001111…
…001111111001110111010
310220020220222101012100100
4100001121321333032322
5121014342110014320
62201445051420230
7142355205411003
oct20013171771672
93806828335310
101101020001210
11394a380a5aa8
12159475454676
137ca971c929c
143b40ab401aa
151d9902d3790
hex10059e7f3ba

1101020001210 has 96 divisors (see below), whose sum is σ = 2980295894160. Its totient is φ = 281756703744.

The previous prime is 1101020001203. The next prime is 1101020001253. The reversal of 1101020001210 is 121000201011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 444759611409 + 656260389801 = 666903^2 + 810099^2 .

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 = 1101020001192 and 1101020001201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2021545 + ... + 2507724.

Almost surely, 21101020001210 is an apocalyptic number.

1101020001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1101020001210 is an abundant number, since it is smaller than the sum of its proper divisors (1879275892950).

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

1101020001210 is a wasteful number, since it uses less digits than its factorization.

1101020001210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4529392 (or 4529389 counting only the distinct ones).

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

Adding to 1101020001210 its reverse (121000201011), we get a palindrome (1222020202221).

The spelling of 1101020001210 in words is "one trillion, one hundred one billion, twenty million, one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 73 74 90 111 146 185 219 222 333 365 370 438 555 657 666 730 1095 1110 1314 1665 2190 2701 3285 3330 5402 6570 8103 13505 16206 24309 27010 40515 48618 81030 121545 243090 4529269 9058538 13587807 22646345 27175614 40763421 45292690 67939035 81526842 135878070 167582953 203817105 330636637 335165906 407634210 502748859 661273274 837914765 991909911 1005497718 1508246577 1653183185 1675829530 1983819822 2513744295 2975729733 3016493154 3306366370 4959549555 5027488590 5951459466 7541232885 9919099110 12233555569 14878648665 15082465770 24467111138 29757297330 36700666707 61167777845 73401333414 110102000121 122335555690 183503333535 220204000242 367006667070 550510000605 1101020001210