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100201100000022 = 23271998819453137
BaseRepresentation
bin10110110010000111100010…
…111110001011101100010110
3111010210010112221110000010200
4112302013202332023230112
5101113143323100000042
6553035425545401330
730051201445012350
oct2662074276135426
9433703487400120
10100201100000022
1129a220587926aa
12b2a3789799246
1343bac00315ab8
141aa5a8b0320d0
15b8b6d95c9c4c
hex5b21e2f8bb16

100201100000022 has 96 divisors (see below), whose sum is σ = 249392654784000. Its totient is φ = 28481729151744.

The previous prime is 100201100000017. The next prime is 100201100000047. The reversal of 100201100000022 is 220000001102001.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220901038 + ... + 221354174.

It is an arithmetic number, because the mean of its divisors is an integer number (2597840154000).

Almost surely, 2100201100000022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100201100000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124696327392000).

100201100000022 is an abundant number, since it is smaller than the sum of its proper divisors (149191554783978).

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

100201100000022 is a wasteful number, since it uses less digits than its factorization.

100201100000022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462170 (or 462167 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100201100000022 its reverse (220000001102001), we get a palindrome (320201101102023).

The spelling of 100201100000022 in words is "one hundred trillion, two hundred one billion, one hundred million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 199 398 597 1194 1393 1791 2786 3582 4179 8358 8819 12537 17638 25074 26457 52914 61733 79371 123466 158742 185199 370398 453137 555597 906274 1111194 1359411 1754981 2718822 3171959 3509962 4078233 5264943 6343918 8156466 9515877 10529886 12284867 15794829 19031754 24569734 28547631 31589658 36854601 57095262 73709202 90174263 110563803 180348526 221127606 270522789 541045578 631219841 811568367 1262439682 1623136734 1893659523 3787319046 3996215203 5680978569 7992430406 11361957138 11988645609 23977291218 27973506421 35965936827 55947012842 71931873654 83920519263 167841038526 251761557789 503523115578 795246825397 1590493650794 2385740476191 4771480952382 5566727777779 7157221428573 11133455555558 14314442857146 16700183333337 33400366666674 50100550000011 100201100000022