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202001121121122 = 233116771282924971
BaseRepresentation
bin101101111011100000001101…
…000100011001001101100010
3222111020010012110001202121000
4231323200031010121031202
5202434041244001333442
61553342011200012430
760356046043224351
oct5573401504311542
9874203173052530
10202001121121122
1159400215795014
121a7a5206901116
138893815b8a71b
1437c4c9934d998
1518547a56c5d4c
hexb7b80d119362

202001121121122 has 64 divisors (see below), whose sum is σ = 448982795433600. Its totient is φ = 67319996546880.

The previous prime is 202001121121103. The next prime is 202001121121133. The reversal of 202001121121122 is 221121121100202.

202001121121122 is a `hidden beast` number, since 20 + 200 + 1 + 1 + 211 + 211 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 202001121121095 and 202001121121104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8089416097 + ... + 8089441067.

It is an arithmetic number, because the mean of its divisors is an integer number (7015356178650).

Almost surely, 2202001121121122 is an apocalyptic number.

202001121121122 is an abundant number, since it is smaller than the sum of its proper divisors (246981674312478).

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

202001121121122 is a wasteful number, since it uses less digits than its factorization.

202001121121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49488 (or 49482 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202001121121122 its reverse (221121121100202), we get a palindrome (423122242221324).

The spelling of 202001121121122 in words is "two hundred two trillion, one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 11677 12829 23354 24971 25658 35031 38487 49942 70062 74913 76974 105093 115461 149826 210186 224739 230922 315279 346383 449478 630558 674217 692766 1348434 149804233 291586367 299608466 320352959 449412699 583172734 640705918 874759101 898825398 961058877 1348238097 1749518202 1922117754 2624277303 2696476194 2883176631 4044714291 5248554606 5766353262 7872831909 8089428582 8649529893 15745663818 17299059786 3740761502243 7481523004486 11222284506729 22444569013458 33666853520187 67333707040374 101000560560561 202001121121122