Search a number
-
+
12210020210100 = 2235259141688187
BaseRepresentation
bin1011000110101101110111…
…1010101101010110110100
31121020021012022011012110110
42301223131322231112310
53100022110133210400
641545112244023020
72400100453234026
oct261533572552664
947207168135413
1012210020210100
113988271104179
121452473091a70
136a752795415b
14302d7a7a4016
15162925de5e50
hexb1addead5b4

12210020210100 has 72 divisors (see below), whose sum is σ = 35328307156128. Its totient is φ = 3255945603200.

The previous prime is 12210020210093. The next prime is 12210020210119. The reversal of 12210020210100 is 101202001221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17398207 + ... + 18086393.

It is an arithmetic number, because the mean of its divisors is an integer number (490670932724).

Almost surely, 212210020210100 is an apocalyptic number.

12210020210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210020210100 is an abundant number, since it is smaller than the sum of its proper divisors (23118286946028).

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

12210020210100 is a wasteful number, since it uses less digits than its factorization.

12210020210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747345 (or 747338 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12210020210100 its reverse (101202001221), we get a palindrome (12311222211321).

The spelling of 12210020210100 in words is "twelve trillion, two hundred ten billion, twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 59141 118282 177423 236564 295705 354846 591410 688187 709692 887115 1182820 1376374 1478525 1774230 2064561 2752748 2957050 3440935 3548460 4129122 4435575 5914100 6881870 8258244 8871150 10322805 13763740 17204675 17742300 20645610 34409350 41291220 51614025 68818700 103228050 206456100 40700067367 81400134734 122100202101 162800269468 203500336835 244200404202 407000673670 488400808404 610501010505 814001347340 1017501684175 1221002021010 2035003368350 2442004042020 3052505052525 4070006736700 6105010105050 12210020210100