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123101130312220 = 22531837649312743
BaseRepresentation
bin11011111111010110110111…
…001001001100101000011100
3121010212100112102120110111211
4123333112313021030220130
5112113342103324442340
61113451513433554204
734633522524001534
oct3377266711145034
9533770472513454
10123101130312220
1136250994904315
12119819a7575964
13538c5049a10b8
1422581ab1764c4
15e372224565ea
hex6ff5b724ca1c

123101130312220 has 96 divisors (see below), whose sum is σ = 270102731673600. Its totient is φ = 47071624058880.

The previous prime is 123101130312169. The next prime is 123101130312253. The reversal of 123101130312220 is 22213031101321.

It is a junction number, because it is equal to n+sod(n) for n = 123101130312191 and 123101130312200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393461169 + ... + 393773911.

It is an arithmetic number, because the mean of its divisors is an integer number (2813570121600).

Almost surely, 2123101130312220 is an apocalyptic number.

123101130312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123101130312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135051365836800).

123101130312220 is an abundant number, since it is smaller than the sum of its proper divisors (147001601361380).

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

123101130312220 is a wasteful number, since it uses less digits than its factorization.

123101130312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320515 (or 320513 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 123101130312220 its reverse (22213031101321), we get a palindrome (145314161413541).

The spelling of 123101130312220 in words is "one hundred twenty-three trillion, one hundred one billion, one hundred thirty million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 83 124 155 166 310 332 415 620 830 1660 2573 5146 7649 10292 12865 15298 25730 30596 38245 51460 76490 152980 237119 312743 474238 625486 634867 948476 1185595 1250972 1269734 1563715 2371190 2539468 3127430 3174335 4742380 6254860 6348670 9695033 12697340 19390066 19680877 25957669 38780132 39361754 48475165 51915338 78723508 96950330 98404385 103830676 129788345 193900660 196808770 259576690 393617540 519153380 804687739 1609375478 2392171207 3218750956 4023438695 4784342414 8046877390 9568684828 11960856035 16093754780 23921712070 47843424140 74157307417 148314614834 198550210181 296629229668 370786537085 397100420362 741573074170 794200840724 992751050905 1483146148340 1985502101810 3971004203620 6155056515611 12310113031222 24620226062444 30775282578055 61550565156110 123101130312220