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102023030123010 = 23255940074794953
BaseRepresentation
bin10111001100101000010110…
…011110000010101000000010
3111101020022021101101211211200
4113030220112132002220002
5101333021131202414020
61000552422155122030
730326630536360143
oct2714502636025002
9441208241354750
10102023030123010
112a5647a6851277
12b5388b6443316
1344c0965a85429
141b29d26191aca
15bbdcbe55c590
hex5cca16782a02

102023030123010 has 96 divisors (see below), whose sum is σ = 269823185873280. Its totient is φ = 26738340175104.

The previous prime is 102023030122991. The next prime is 102023030123051. The reversal of 102023030123010 is 10321030320201.

102023030123010 is a `hidden beast` number, since 10 + 20 + 2 + 30 + 301 + 2 + 301 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18879694 + ... + 23674646.

It is an arithmetic number, because the mean of its divisors is an integer number (2810658186180).

Almost surely, 2102023030123010 is an apocalyptic number.

102023030123010 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 102023030123010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134911592936640).

102023030123010 is an abundant number, since it is smaller than the sum of its proper divisors (167800155750270).

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

102023030123010 is a wasteful number, since it uses less digits than its factorization.

102023030123010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4799032 (or 4799029 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102023030123010 its reverse (10321030320201), we get a palindrome (112344060443211).

The spelling of 102023030123010 in words is "one hundred two trillion, twenty-three billion, thirty million, one hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 885 1062 1770 2655 4007 5310 8014 12021 20035 24042 36063 40070 60105 72126 120210 180315 236413 360630 472826 709239 1182065 1418478 2127717 2364130 3546195 4255434 4794953 7092390 9589906 10638585 14384859 21277170 23974765 28769718 43154577 47949530 71924295 86309154 143848590 215772885 282902227 431545770 565804454 848706681 1414511135 1697413362 2546120043 2829022270 4243533405 5092240086 8487066810 12730600215 19213376671 25461200430 38426753342 57640130013 96066883355 115280260026 172920390039 192133766710 288200650065 345840780078 576401300130 864601950195 1133589223589 1729203900390 2267178447178 3400767670767 5667946117945 6801535341534 10202303012301 11335892235890 17003838353835 20404606024602 34007676707670 51011515061505 102023030123010