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121342023103104 = 2732105331617277
BaseRepresentation
bin11011100101110000100100…
…001011101111001010000000
3120220122011222020000022101200
4123211300210023233022000
5111401031430403244404
61110023431133301200
734362446310303246
oct3345604413571200
9526564866008350
10121342023103104
1135732954730781
1211738a92034800
13529267177c69b
1421d6db1776796
15e065b798a839
hex6e5c242ef280

121342023103104 has 48 divisors (see below), whose sum is σ = 349174311276570. Its totient is φ = 40447341033984.

The previous prime is 121342023103097. The next prime is 121342023103111. The reversal of 121342023103104 is 401301320243121.

121342023103104 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 420 + 231 + 0 + 3 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (121342023103097) and next prime (121342023103111).

It can be written as a sum of positive squares in only one way, i.e., 77122821441600 + 44219201661504 = 8781960^2 + 6649752^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52665807487 + ... + 52665809790.

Almost surely, 2121342023103104 is an apocalyptic number.

It is an amenable number.

121342023103104 is an abundant number, since it is smaller than the sum of its proper divisors (227832288173466).

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

121342023103104 is a wasteful number, since it uses less digits than its factorization.

121342023103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105331617297 (or 105331617282 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 121342023103104 its reverse (401301320243121), we get a palindrome (522643343346225).

The spelling of 121342023103104 in words is "one hundred twenty-one trillion, three hundred forty-two billion, twenty-three million, one hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 105331617277 210663234554 315994851831 421326469108 631989703662 842652938216 947984555493 1263979407324 1685305876432 1895969110986 2527958814648 3370611752864 3791938221972 5055917629296 6741223505728 7583876443944 10111835258592 13482447011456 15167752887888 20223670517184 30335505775776 40447341034368 60671011551552 121342023103104