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101110100220 = 223252953365467
BaseRepresentation
bin101111000101010100…
…0011011000011111100
3100122222112111021110200
41132022220123003330
53124033141201340
6114241020203500
710206413446203
oct1361250330374
9318875437420
10101110100220
11399760198a8
1217719699590
1396c47b878c
144c7266c23a
15296b918330
hex178aa1b0fc

101110100220 has 144 divisors (see below), whose sum is σ = 323263755360. Its totient is φ = 25541687808.

The previous prime is 101110100213. The next prime is 101110100233. The reversal of 101110100220 is 22001011101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 93927 + ... + 459393.

It is an arithmetic number, because the mean of its divisors is an integer number (2244887190).

Almost surely, 2101110100220 is an apocalyptic number.

101110100220 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 101110100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161631877680).

101110100220 is an abundant number, since it is smaller than the sum of its proper divisors (222153655140).

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

101110100220 is a wasteful number, since it uses less digits than its factorization.

101110100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365564 (or 365559 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101110100220 its reverse (22001011101), we get a palindrome (123111111321).

The spelling of 101110100220 in words is "one hundred one billion, one hundred ten million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 53 58 60 87 90 106 116 145 159 174 180 212 261 265 290 318 348 435 477 522 530 580 636 795 870 954 1044 1060 1305 1537 1590 1740 1908 2385 2610 3074 3180 4611 4770 5220 6148 7685 9222 9540 13833 15370 18444 23055 27666 30740 46110 55332 69165 92220 138330 276660 365467 730934 1096401 1461868 1827335 2192802 3289203 3654670 4385604 5482005 6578406 7309340 10598543 10964010 13156812 16446015 19369751 21197086 21928020 31795629 32892030 38739502 42394172 52992715 58109253 63591258 65784060 77479004 95386887 96848755 105985430 116218506 127182516 158978145 174327759 190773774 193697510 211970860 232437012 290546265 317956290 348655518 381547548 387395020 476934435 561722779 581092530 635912580 697311036 871638795 953868870 1123445558 1162185060 1685168337 1743277590 1907737740 2246891116 2808613895 3370336674 3486555180 5055505011 5617227790 6740673348 8425841685 10111010022 11234455580 16851683370 20222020044 25277525055 33703366740 50555050110 101110100220