Search a number
-
+
61312743722121 = 31272512934315077
BaseRepresentation
bin11011111000011011111000…
…10011110100110010001001
322001002102220112022010111120
431330031330103310302021
531014021444343101441
6334222404032145453
715625461642444663
oct1574157423646211
9261072815263446
1061312743722121
1118599652458351
126a629a1998289
1328299c7c175b8
14111d7a45b9533
15714d426a5966
hex37c37c4f4c89

61312743722121 has 64 divisors (see below), whose sum is σ = 83213593214976. Its totient is φ = 40152581280000.

The previous prime is 61312743722099. The next prime is 61312743722149. The reversal of 61312743722121 is 12122734721316.

It is a happy number.

It is not a de Polignac number, because 61312743722121 - 214 = 61312743705737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61312743742121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12076567035 + ... + 12076572111.

It is an arithmetic number, because the mean of its divisors is an integer number (1300212393984).

Almost surely, 261312743722121 is an apocalyptic number.

It is an amenable number.

61312743722121 is a deficient number, since it is larger than the sum of its proper divisors (21900849492855).

61312743722121 is a wasteful number, since it uses less digits than its factorization.

61312743722121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6182.

The product of its digits is 169344, while the sum is 42.

The spelling of 61312743722121 in words is "sixty-one trillion, three hundred twelve billion, seven hundred forty-three million, seven hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 127 251 293 381 431 753 879 1293 5077 15231 31877 37211 54737 73543 95631 108181 111633 126283 164211 220629 324543 378849 644779 1274327 1487561 1934337 2188187 3822981 4462683 6564561 9339961 13738987 16037941 28019883 31697033 41216961 48113823 95091099 161839529 188920247 277899749 373377811 485518587 549234937 566760741 641138791 833699247 1120133433 1647704811 1923416373 4025523191 12076569573 47418981997 69752836999 81424626457 142256945991 160925836541 209258510997 244273879371 482777509623 20437581240707 61312743722121