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10230310312002 = 23311112324116361
BaseRepresentation
bin1001010011011110111000…
…0000110001100001000010
31100020000012220201022202000
42110313232000301201002
52320103133414441002
633431423434204430
72104054424606004
oct224675600614102
940200186638660
1010230310312002
113294717516250
121192852283716
13592938c0b151
14275214954374
1512b1a938a61c
hex94dee031842

10230310312002 has 128 divisors (see below), whose sum is σ = 24837036272640. Its totient is φ = 3095562096000.

The previous prime is 10230310311973. The next prime is 10230310312003. The reversal of 10230310312002 is 20021301303201.

10230310312002 is a `hidden beast` number, since 1 + 0 + 230 + 310 + 3 + 120 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10230310312003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1608283302 + ... + 1608289662.

It is an arithmetic number, because the mean of its divisors is an integer number (194039345880).

Almost surely, 210230310312002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10230310312002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418518136320).

10230310312002 is an abundant number, since it is smaller than the sum of its proper divisors (14606725960638).

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

10230310312002 is a wasteful number, since it uses less digits than its factorization.

10230310312002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9917 (or 9911 counting only the distinct ones).

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

Adding to 10230310312002 its reverse (20021301303201), we get a palindrome (30251611615203).

The spelling of 10230310312002 in words is "ten trillion, two hundred thirty billion, three hundred ten million, three hundred twelve thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1123 2246 2411 3369 4822 6361 6738 7233 10107 12353 12722 14466 19083 20214 21699 24706 26521 30321 37059 38166 43398 53042 57249 60642 65097 69971 74118 79563 111177 114498 130194 139942 159126 171747 209913 222354 238689 333531 343494 419826 477378 629739 667062 716067 1259478 1432134 1889217 2707553 3778434 5415106 7143403 8122659 14286806 15336371 16245318 21430209 24367977 29783083 30672742 42860418 46009113 48735954 59566166 64290627 73103931 78577433 89349249 92018226 128581254 138027339 146207862 157154866 168700081 178698498 192871881 235732299 268047747 276054678 337400162 385743762 414082017 471464598 506100243 536095494 707196897 804143241 828164034 1012200486 1414393794 1518300729 1608286482 2121590691 3036601458 4243181382 4554902187 9109804374 17222744633 34445489266 51668233899 103336467798 155004701697 189450190963 310009403394 378900381926 465014105091 568350572889 930028210182 1136701145778 1705051718667 3410103437334 5115155156001 10230310312002