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2121130101030 = 2351927735933739
BaseRepresentation
bin11110110111011101001…
…101001100100100100110
321111210000012111112122020
4132313131031030210212
5234223033301213110
64302233403244010
7306150403242453
oct36673515144446
97453005445566
102121130101030
1174862570a5a6
122a310a219606
1312503890b375
147493dd2c82a
153a2972b2d70
hex1eddd34c926

2121130101030 has 128 divisors (see below), whose sum is σ = 5380925299200. Its totient is φ = 533638554624.

The previous prime is 2121130101017. The next prime is 2121130101047. The reversal of 2121130101030 is 301010311212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 567296901 + ... + 567300639.

It is an arithmetic number, because the mean of its divisors is an integer number (42038478900).

Almost surely, 22121130101030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121130101030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690462649600).

2121130101030 is an abundant number, since it is smaller than the sum of its proper divisors (3259795198170).

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

2121130101030 is a wasteful number, since it uses less digits than its factorization.

2121130101030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2121130101030 its reverse (301010311212), we get a palindrome (2422140412242).

The spelling of 2121130101030 in words is "two trillion, one hundred twenty-one billion, one hundred thirty million, one hundred one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 277 285 554 570 831 1385 1662 2770 3593 3739 4155 5263 7186 7478 8310 10526 10779 11217 15789 17965 18695 21558 22434 26315 31578 35930 37390 52630 53895 56085 68267 71041 78945 107790 112170 136534 142082 157890 204801 213123 341335 355205 409602 426246 682670 710410 995261 1024005 1035703 1065615 1990522 2048010 2071406 2131230 2985783 3107109 4976305 5178515 5971566 6214218 9952610 10357030 13434227 14928915 15535545 18909959 19678357 26868454 29857830 31071090 37819918 39356714 40302681 56729877 59035071 67171135 80605362 94549795 98391785 113459754 118070142 134342270 189099590 196783570 201513405 255250313 283649385 295175355 403026810 510500626 567298770 590350710 765750939 1276251565 1531501878 2552503130 3721280879 3828754695 7442561758 7657509390 11163842637 18606404395 22327685274 37212808790 55819213185 70704336701 111638426370 141408673402 212113010103 353521683505 424226020206 707043367010 1060565050515 2121130101030