Search a number
-
+
100220010222112 = 25113116607553043
BaseRepresentation
bin10110110010011001001010…
…000110111101001000100000
3111010211221100211100211010121
4112302121022012331020200
5101114001040104101422
6553052234225210024
730052441165156234
oct2662311206751040
9433757324324117
10100220010222112
1129a2a082049420
12b2a7386790914
1343bc924cab721
141aa69626ba5c4
15b8be4482d8c7
hex5b264a1bd220

100220010222112 has 96 divisors (see below), whose sum is σ = 222202425360384. Its totient is φ = 44082314169600.

The previous prime is 100220010222103. The next prime is 100220010222169. The reversal of 100220010222112 is 211222010022001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180939063 + ... + 181492105.

It is an arithmetic number, because the mean of its divisors is an integer number (2314608597504).

Almost surely, 2100220010222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220010222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111101212680192).

100220010222112 is an abundant number, since it is smaller than the sum of its proper divisors (121982415138272).

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

100220010222112 is a wasteful number, since it uses less digits than its factorization.

100220010222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569702 (or 569694 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100220010222112 its reverse (211222010022001), we get a palindrome (311442020244113).

The spelling of 100220010222112 in words is "one hundred trillion, two hundred twenty billion, ten million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 10912 16607 33214 66428 132856 182677 265712 365354 514817 531424 553043 730708 1029634 1106086 1461416 2059268 2212172 2922832 4118536 4424344 5662987 5845664 6083473 8237072 8848688 11325974 12166946 16474144 17144333 17697376 22651948 24333892 34288666 45303896 48667784 68577332 90607792 97335568 137154664 181215584 188587663 194671136 274309328 377175326 548618656 754350652 1508701304 3017402608 6034805216 9184385101 18368770202 36737540404 73475080808 101028236111 146950161616 202056472222 284715938131 293900323232 404112944444 569431876262 808225888888 1138863752524 1616451777776 2277727505048 3131875319441 3232903555552 4555455010096 6263750638882 9110910020192 12527501277764 25055002555528 50110005111056 100220010222112