Search a number
-
+
10200221120122 = 21117431678737783
BaseRepresentation
bin1001010001101110110010…
…0011100111011001111010
31100010010112221121000002221
42110123230203213121322
52314110023101320442
633405530014314254
72101640662651345
oct224335443473172
940103487530087
1010200221120122
1132829869a3020
121188a554b898a
1358cb52217bb7
1427399c72d45c
1512a4e79e4467
hex946ec8e767a

10200221120122 has 64 divisors (see below), whose sum is σ = 18085668885504. Its totient is φ = 4261882141440.

The previous prime is 10200221120107. The next prime is 10200221120137. The reversal of 10200221120122 is 22102112200201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10200221120107) and next prime (10200221120137).

It is a junction number, because it is equal to n+sod(n) for n = 10200221120096 and 10200221120105.

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, 269949643 + ... + 269987425.

It is an arithmetic number, because the mean of its divisors is an integer number (282588576336).

Almost surely, 210200221120122 is an apocalyptic number.

10200221120122 is a deficient number, since it is larger than the sum of its proper divisors (7885447765382).

10200221120122 is a wasteful number, since it uses less digits than its factorization.

10200221120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54643.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10200221120122 its reverse (22102112200201), we get a palindrome (32302333320323).

The spelling of 10200221120122 in words is "ten trillion, two hundred billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 11 17 22 34 43 86 187 374 473 731 946 1462 8041 16082 16787 33574 37783 75566 184657 285379 369314 415613 570758 642311 721841 831226 1284622 1443682 1624669 3139169 3249338 6278338 7065421 7940251 12271297 14130842 15880502 17871359 24542594 27619373 35742718 55238746 134984267 269968534 303813103 607626206 634263221 1268526442 6976895431 10782474757 13953790862 21564949514 27273318503 54546637006 118607222327 237214444654 300006503533 463646414551 600013007066 927292829102 5100110560061 10200221120122