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101231300220 = 22357382727947
BaseRepresentation
bin101111001000111011…
…0110000111001111100
3100200021222112212121120
41132101312300321330
53124310203101340
6114301030030540
710212414566031
oct1362166607174
9320258485546
10101231300220
1139a28480196
12177521a8450
13971394295b
144c847bb388
1529773a94d0
hex1791db0e7c

101231300220 has 96 divisors (see below), whose sum is σ = 287688215808. Its totient is φ = 26592072192.

The previous prime is 101231300153. The next prime is 101231300267. The reversal of 101231300220 is 22003132101.

It is a super-2 number, since 2×1012313002202 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101231300220.

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, 3608287 + ... + 3636233.

It is an arithmetic number, because the mean of its divisors is an integer number (2996752248).

Almost surely, 2101231300220 is an apocalyptic number.

101231300220 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 101231300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143844107904).

101231300220 is an abundant number, since it is smaller than the sum of its proper divisors (186456915588).

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

101231300220 is a wasteful number, since it uses less digits than its factorization.

101231300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28859 (or 28857 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101231300220 its reverse (22003132101), we get a palindrome (123234432321).

The spelling of 101231300220 in words is "one hundred one billion, two hundred thirty-one million, three hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 827 876 1095 1460 1654 2190 2481 3308 4135 4380 4962 8270 9924 12405 16540 24810 27947 49620 55894 60371 83841 111788 120742 139735 167682 181113 241484 279470 301855 335364 362226 419205 558940 603710 724452 838410 905565 1207420 1676820 1811130 2040131 3622260 4080262 6120393 8160524 10200655 12240786 20401310 23112169 24481572 30601965 40802620 46224338 61203930 69336507 92448676 115560845 122407860 138673014 231121690 277346028 346682535 462243380 693365070 1386730140 1687188337 3374376674 5061565011 6748753348 8435941685 10123130022 16871883370 20246260044 25307825055 33743766740 50615650110 101231300220