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142102321112310 = 2351317124917160313
BaseRepresentation
bin100000010011110111000110…
…010111110010010011110110
3200122010211221002022110022120
4200103313012113302103312
5122111201023201043220
61222120523300340410
741634360662634666
oct4023670627622366
9618124832273276
10142102321112310
114130728a739169
1213b3046b9a4706
13613a26460c130
142713b091a41a6
15116661a395a40
hex813dc65f24f6

142102321112310 has 128 divisors (see below), whose sum is σ = 389195921520000. Its totient is φ = 32895082561536.

The previous prime is 142102321112287. The next prime is 142102321112467. The reversal of 142102321112310 is 13211123201241.

It is a super-2 number, since 2×1421023211123102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299287 + ... + 16861026.

It is an arithmetic number, because the mean of its divisors is an integer number (3040593136875).

Almost surely, 2142102321112310 is an apocalyptic number.

142102321112310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142102321112310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194597960760000).

142102321112310 is an abundant number, since it is smaller than the sum of its proper divisors (247093600407690).

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

142102321112310 is a wasteful number, since it uses less digits than its factorization.

142102321112310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17161602.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 142102321112310 its reverse (13211123201241), we get a palindrome (155313444313551).

The spelling of 142102321112310 in words is "one hundred forty-two trillion, one hundred two billion, three hundred twenty-one million, one hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 663 1105 1249 1326 2210 2498 3315 3747 6245 6630 7494 12490 16237 18735 21233 32474 37470 42466 48711 63699 81185 97422 106165 127398 162370 212330 243555 276029 318495 487110 552058 636990 828087 1380145 1656174 2760290 4140435 8280870 17160313 34320626 51480939 85801565 102961878 171603130 223084069 257404695 291725321 446168138 514809390 583450642 669252207 875175963 1115420345 1338504414 1458626605 1750351926 2230840690 2917253210 3346261035 3792429173 4375879815 6692522070 7584858346 8751759630 11377287519 18962145865 21433230937 22754575038 37924291730 42866461874 56886437595 64299692811 107166154685 113772875190 128599385622 214332309370 278632002181 321498464055 364364925929 557264004362 642996928110 728729851858 835896006543 1093094777787 1393160010905 1671792013086 1821824629645 2186189555574 2786320021810 3643649259290 4179480032715 4736744037077 5465473888935 8358960065430 9473488074154 10930947777870 14210232111231 23683720185385 28420464222462 47367440370770 71051160556155 142102321112310