Search a number
-
+
121510012292964 = 2232239276872
BaseRepresentation
bin11011101000001101000001…
…000111101000111101100100
3120221020020120200022100120100
4123220031001013220331210
5111411310001121333324
61110232532400504100
734410544243664211
oct3350150107507544
9527206520270510
10121510012292964
113579811a1a8489
121176555531b030
1352a5463c45b89
14220118a33cb08
15e0ab4a9da4c9
hex6e83411e8f64

121510012292964 has 81 divisors (see below), whose sum is σ = 308480963989107. Its totient is φ = 40328620376688.

The previous prime is 121510012292957. The next prime is 121510012292971. The reversal of 121510012292964 is 469292210015121.

The square root of 121510012292964 is 11023158.

It is a perfect power (a square), and thus also a powerful number.

121510012292964 is a `hidden beast` number, since 1 + 2 + 1 + 510 + 0 + 122 + 9 + 2 + 9 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (121510012292957) and next prime (121510012292971).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15807204729 + ... + 15807212415.

Almost surely, 2121510012292964 is an apocalyptic number.

121510012292964 is the 11023158-th square number.

It is an amenable number.

121510012292964 is an abundant number, since it is smaller than the sum of its proper divisors (186970951696143).

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

121510012292964 is an frugal number, since it uses more digits than its factorization.

121510012292964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15862 (or 7931 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 121510012292964 in words is "one hundred twenty-one trillion, five hundred ten billion, twelve million, two hundred ninety-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 239 478 717 956 1434 2151 2868 4302 7687 8604 15374 23061 30748 46122 57121 69183 92244 114242 138366 171363 228484 276732 342726 514089 685452 1028178 1837193 2056356 3674386 5511579 7348772 11023158 16534737 22046316 33069474 59089969 66138948 118179938 177269907 236359876 354539814 439089127 531809721 709079628 878178254 1063619442 1317267381 1756356508 2127238884 2634534762 3951802143 5269069524 7903604286 14122502591 15807208572 28245005182 42367507773 56490010364 84735015546 127102523319 169470031092 254205046638 508410093276 3375278119249 6750556238498 10125834357747 13501112476996 20251668715494 30377503073241 40503337430988 60755006146482 121510012292964