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13101220113220 = 22517229421939883
BaseRepresentation
bin1011111010100101110110…
…0100100010101101000100
31201101110112120000001012201
42332221131210202231010
53204122244322110340
643510341210524244
72521350306355321
oct276513544425504
951343476001181
1013101220113220
1141a1218229a28
121577130136684
137405941b2135
1433416112db48
1517abd5a8179a
hexbea5d922b44

13101220113220 has 96 divisors (see below), whose sum is σ = 29265826262400. Its totient is φ = 4909398902784.

The previous prime is 13101220113211. The next prime is 13101220113227. The reversal of 13101220113220 is 2231102210131.

13101220113220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13101220113227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328471399 + ... + 328511281.

It is an arithmetic number, because the mean of its divisors is an integer number (304852356900).

Almost surely, 213101220113220 is an apocalyptic number.

13101220113220 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 13101220113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14632913131200).

13101220113220 is an abundant number, since it is smaller than the sum of its proper divisors (16164606149180).

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

13101220113220 is a wasteful number, since it uses less digits than its factorization.

13101220113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44357 (or 44355 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 13101220113220 its reverse (2231102210131), we get a palindrome (15332322323351).

The spelling of 13101220113220 in words is "thirteen trillion, one hundred one billion, two hundred twenty million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 229 340 458 916 1145 2290 3893 4219 4580 7786 8438 15572 16876 19465 21095 38930 39883 42190 71723 77860 79766 84380 143446 159532 199415 286892 358615 398830 678011 717230 797660 966151 1356022 1434460 1932302 2712044 3390055 3864604 4830755 6780110 9133207 9661510 13560220 16424567 18266414 19323020 32849134 36532828 45666035 65698268 82122835 91332070 155264519 164245670 168266377 182664140 310529038 328491340 336532754 621058076 673065508 776322595 841331885 1552645190 1682663770 2860528409 3105290380 3365327540 5721056818 11442113636 14302642045 28605284090 38533000333 57210568180 77066000666 154132001332 192665001665 385330003330 655061005661 770660006660 1310122011322 2620244022644 3275305028305 6550610056610 13101220113220