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101111201013030 = 23513643493181769
BaseRepresentation
bin10110111111010111001001…
…001110000001110100100110
3111021000010200110001201021220
4112333113021032001310212
5101223101214424404110
6555013502224521210
730204020550666405
oct2677271116016446
9437003613051256
10101111201013030
112a24302401002a
12b410040780206
13445598c698c80
141ad7b45b5363c
15ba52037b9370
hex5bf5c9381d26

101111201013030 has 128 divisors (see below), whose sum is σ = 261796276385280. Its totient is φ = 24844860103680.

The previous prime is 101111201013013. The next prime is 101111201013059. The reversal of 101111201013030 is 30310102111101.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1236505986 + ... + 1236587754.

It is an arithmetic number, because the mean of its divisors is an integer number (2045283409260).

Almost surely, 2101111201013030 is an apocalyptic number.

101111201013030 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 101111201013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130898138192640).

101111201013030 is an abundant number, since it is smaller than the sum of its proper divisors (160685075372250).

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

101111201013030 is a wasteful number, since it uses less digits than its factorization.

101111201013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87366.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101111201013030 its reverse (30310102111101), we get a palindrome (131421303124131).

The spelling of 101111201013030 in words is "one hundred one trillion, one hundred eleven billion, two hundred one million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 643 1286 1929 3215 3858 4931 6430 8359 9645 9862 14793 16718 19290 24655 25077 29586 41795 49310 50154 64103 73965 81769 83590 125385 128206 147930 163538 192309 245307 250770 320515 384618 408845 490614 641030 817690 961545 1062997 1226535 1923090 2125994 2453070 3170633 3188991 5314985 6341266 6377982 9511899 10629970 15853165 15944955 19023798 31706330 31889910 41218229 47559495 52577467 82436458 95118990 105154934 123654687 157732401 206091145 247309374 262887335 315464802 403202939 412182290 525774670 618273435 683507071 788662005 806405878 1209608817 1236546870 1367014142 1577324010 2016014695 2050521213 2419217634 3417535355 4032029390 4101042426 5241638207 6048044085 6835070710 10252606065 10483276414 12096088170 15724914621 20505212130 26208191035 31449829242 52416382070 78624573105 157249146210 259259489777 518518979554 777778469331 1296297448885 1555556938662 2592594897770 3370373367101 3888892346655 6740746734202 7777784693310 10111120101303 16851866835505 20222240202606 33703733671010 50555600506515 101111201013030