Search a number
-
+
100111212022220 = 22571734447929483
BaseRepresentation
bin10110110000110011110101…
…001110110000100111001100
3111010110112112111100121120122
4112300303311032300213030
5101110210230234202340
6552530242250204112
730041540105552210
oct2660636516604714
9433415474317518
10100111212022220
1129997a21324543
12b28a282423638
1343b25a6786459
141aa15a0d74940
15b891c7ec9db5
hex5b0cf53b09cc

100111212022220 has 96 divisors (see below), whose sum is σ = 241710336258048. Its totient is φ = 34117729880832.

The previous prime is 100111212022183. The next prime is 100111212022243. The reversal of 100111212022220 is 22220212111001.

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, 107241599 + ... + 108171081.

It is an arithmetic number, because the mean of its divisors is an integer number (2517816002688).

Almost surely, 2100111212022220 is an apocalyptic number.

100111212022220 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 100111212022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120855168129024).

100111212022220 is an abundant number, since it is smaller than the sum of its proper divisors (141599124235828).

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

100111212022220 is a wasteful number, since it uses less digits than its factorization.

100111212022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934119 (or 934117 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100111212022220 its reverse (22220212111001), we get a palindrome (122331424133221).

The spelling of 100111212022220 in words is "one hundred trillion, one hundred eleven billion, two hundred twelve million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 865 1211 1730 2422 3460 4447 4844 6055 8894 12110 17788 22235 24220 31129 44470 62258 88940 124516 155645 311290 622580 769331 929483 1538662 1858966 3077324 3717932 3846655 4647415 5385317 6506381 7693310 9294830 10770634 13012762 15386620 18589660 21541268 26025524 26926585 32531905 53853170 65063810 107706340 130127620 160800559 321601118 643202236 804002795 1125603913 1608005590 2251207826 3216011180 4133410901 4502415652 5628019565 8266821802 11256039130 16533643604 20667054505 22512078260 28933876307 41334109010 57867752614 82668218020 115735505228 144669381535 289338763070 578677526140 715080085873 1430160171746 2860320343492 3575400429365 5005560601111 7150800858730 10011121202222 14301601717460 20022242404444 25027803005555 50055606011110 100111212022220