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10402134132122 = 21729131353228139
BaseRepresentation
bin1001011101011110111110…
…0000101000010110011010
31100211102201121112202201122
42113113233200220112122
52330412032314211442
634042401403045242
72122346403150665
oct227275740502632
940742647482648
1010402134132122
11335057a597477
121200005810822
135a5bbc975425
1427d6749046dc
151308b3d96dd2
hex975ef82859a

10402134132122 has 64 divisors (see below), whose sum is σ = 17270051990400. Its totient is φ = 4676938506240.

The previous prime is 10402134132113. The next prime is 10402134132127. The reversal of 10402134132122 is 22123143120401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10402134132091 and 10402134132100.

It is not an unprimeable number, because it can be changed into a prime (10402134132127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45481529 + ... + 45709667.

It is an arithmetic number, because the mean of its divisors is an integer number (269844562350).

Almost surely, 210402134132122 is an apocalyptic number.

10402134132122 is a deficient number, since it is larger than the sum of its proper divisors (6867917858278).

10402134132122 is a wasteful number, since it uses less digits than its factorization.

10402134132122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228671.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10402134132122 its reverse (22123143120401), we get a palindrome (32525277252523).

The spelling of 10402134132122 in words is "ten trillion, four hundred two billion, one hundred thirty-four million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 17 29 34 58 131 262 353 493 706 986 2227 3799 4454 6001 7598 10237 12002 20474 46243 64583 92486 129166 174029 228139 348058 456278 786131 1341047 1572262 2682094 3878363 6616031 7756726 13232062 22797799 29886209 45595598 59772418 80533067 112472527 161066134 224945054 508065553 866700061 1016131106 1369062139 1733400122 2335458943 2738124278 4670917886 10549831777 14733901037 21099663554 29467802074 39702802031 79405604062 179347140209 305945121533 358694280418 611890243066 5201067066061 10402134132122