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100322012220 = 22357328578017
BaseRepresentation
bin101110101101110101…
…0000110110000111100
3100120221121120020222020
41131123222012300330
53120424413342340
6114030504520140
710151034014433
oct1353352066074
9316847506866
10100322012220
1139601184701
1217539780050
1395ca446811
144bd9b2411a
1529226459d0
hex175ba86c3c

100322012220 has 96 divisors (see below), whose sum is σ = 284884799808. Its totient is φ = 26373537792.

The previous prime is 100322012213. The next prime is 100322012249. The reversal of 100322012220 is 22210223001.

It is a happy number.

It is a super-2 number, since 2×1003220122202 (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 100322012220.

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, 12509652 + ... + 12517668.

It is an arithmetic number, because the mean of its divisors is an integer number (2967549998).

Almost surely, 2100322012220 is an apocalyptic number.

100322012220 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 100322012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142442399904).

100322012220 is an abundant number, since it is smaller than the sum of its proper divisors (184562787588).

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

100322012220 is a wasteful number, since it uses less digits than its factorization.

100322012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10959 (or 10957 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100322012220 its reverse (22210223001), we get a palindrome (122532235221).

The spelling of 100322012220 in words is "one hundred billion, three hundred twenty-two million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 2857 4380 5714 8017 8571 11428 14285 16034 17142 24051 28570 32068 34284 40085 42855 48102 57140 80170 85710 96204 120255 160340 171420 208561 240510 417122 481020 585241 625683 834244 1042805 1170482 1251366 1755723 2085610 2340964 2502732 2926205 3128415 3511446 4171220 5852410 6256830 7022892 8778615 11704820 12513660 17557230 22904569 35114460 45809138 68713707 91618276 114522845 137427414 229045690 274854828 343568535 458091380 687137070 1374274140 1672033537 3344067074 5016100611 6688134148 8360167685 10032201222 16720335370 20064402444 25080503055 33440670740 50161006110 100322012220