Search a number
-
+
100020220212210 = 2359197103510751
BaseRepresentation
bin10110101111011111000101…
…101100100011001111110010
3111010010211200010012201220020
4112233133011230203033302
5101102212402333242320
6552420353240024310
730032136204125244
oct2657370554431762
9433124603181806
10100020220212210
1129962378873961
12b274709462096
1343a6b35333a5c
141a9b00c45c094
15b86b4ea38940
hex5af7c5b233f2

100020220212210 has 64 divisors (see below), whose sum is σ = 240344037457920. Its totient is φ = 26639232696000.

The previous prime is 100020220212197. The next prime is 100020220212247. The reversal of 100020220212210 is 12212022020001.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100020220212210.

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, 195574335 + ... + 196085085.

It is an arithmetic number, because the mean of its divisors is an integer number (3755375585280).

Almost surely, 2100020220212210 is an apocalyptic number.

100020220212210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100020220212210 is an abundant number, since it is smaller than the sum of its proper divisors (140323817245710).

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

100020220212210 is a wasteful number, since it uses less digits than its factorization.

100020220212210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518783.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100020220212210 its reverse (12212022020001), we get a palindrome (112232242232211).

The spelling of 100020220212210 in words is "one hundred trillion, twenty billion, two hundred twenty million, two hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 919 1838 2757 4595 5514 7103 9190 13785 14206 21309 27570 35515 42618 71030 106545 213090 510751 1021502 1532253 2553755 3064506 5107510 6527657 7661265 13055314 15322530 19582971 32638285 39165942 65276570 97914855 195829710 469380169 938760338 1408140507 2346900845 2816281014 3627864353 4693801690 7040702535 7255728706 10883593059 14081405070 18139321765 21767186118 36278643530 54417965295 108835930590 3334007340407 6668014680814 10002022021221 16670036702035 20004044042442 33340073404070 50010110106105 100020220212210