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230201121102012 = 2232371014993429109
BaseRepresentation
bin110100010101110111100000…
…000011001101100010111100
31010012002000022221011101101200
4310111313200003031202330
5220133103344000231022
62133332533551535500
766326324244123024
oct6425674003154274
91105060287141350
10230201121102012
1167392824593095
122199a62982a590
139b5ab46078b68
1440bbb17d24a84
151b930d5940bac
hexd15de00cd8bc

230201121102012 has 144 divisors (see below), whose sum is σ = 604750981380000. Its totient is φ = 73772457868800.

The previous prime is 230201121101957. The next prime is 230201121102077. The reversal of 230201121102012 is 210201121102032.

230201121102012 is a `hidden beast` number, since 230 + 20 + 1 + 1 + 211 + 0 + 201 + 2 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 65416914 + ... + 68846022.

Almost surely, 2230201121102012 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 230201121102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302375490690000).

230201121102012 is an abundant number, since it is smaller than the sum of its proper divisors (374549860277988).

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

230201121102012 is a wasteful number, since it uses less digits than its factorization.

230201121102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429756 (or 3429751 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 230201121102012 its reverse (210201121102032), we get a palindrome (440402242204044).

The spelling of 230201121102012 in words is "two hundred thirty trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 101 111 148 202 222 303 333 404 444 499 606 666 909 998 1212 1332 1497 1818 1996 2994 3636 3737 4491 5988 7474 8982 11211 14948 17964 18463 22422 33633 36926 44844 50399 55389 67266 73852 100798 110778 134532 151197 166167 201596 221556 302394 332334 453591 604788 664668 907182 1814364 1864763 3429109 3729526 5594289 6858218 7459052 10287327 11188578 13716436 16782867 20574654 22377156 30861981 33565734 41149308 61723962 67131468 123447924 126877033 253754066 346340009 380631099 507508132 692680018 761262198 1039020027 1141893297 1385360036 1522524396 1711125391 2078040054 2283786594 3117060081 3422250782 4156080108 4567573188 5133376173 6234120162 6844501564 10266752346 12468240324 12814580333 15400128519 20533504692 25629160666 30800257038 38443740999 51258321332 61600514076 63311639467 76887481998 115331222997 126623278934 153774963996 172823664491 189934918401 230662445994 253246557868 345647328982 379869836802 461324891988 518470993473 569804755203 691294657964 759739673604 1036941986946 1139609510406 1555412980419 2073883973892 2279219020812 3110825960838 6221651921676 6394475586167 12788951172334 19183426758501 25577902344668 38366853517002 57550280275503 76733707034004 115100560551006 230201121102012