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100311212220 = 22357935359951
BaseRepresentation
bin101110101101100000…
…0111010000010111100
3100120220212020120011020
41131123000322002330
53120414132242340
6114025441224140
710150543143522
oct1353300720274
9316825216136
10100311212220
11395a607848a
1217536032050
1395c8134a9b
144bd8512312
1529217109d0
hex175b03a0bc

100311212220 has 96 divisors (see below), whose sum is σ = 285237227520. Its totient is φ = 26335795200.

The previous prime is 100311212213. The next prime is 100311212237. The reversal of 100311212220 is 22212113001.

It is a super-4 number, since 4×1003112122204 (a number of 45 digits) contains 4444 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 100311212220.

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, 1643245 + ... + 1703195.

It is an arithmetic number, because the mean of its divisors is an integer number (2971221120).

Almost surely, 2100311212220 is an apocalyptic number.

100311212220 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 100311212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142618613760).

100311212220 is an abundant number, since it is smaller than the sum of its proper divisors (184926015300).

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

100311212220 is a wasteful number, since it uses less digits than its factorization.

100311212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60395 (or 60393 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100311212220 its reverse (22212113001), we get a palindrome (122523325221).

The spelling of 100311212220 in words is "one hundred billion, three hundred eleven million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 353 395 474 706 790 948 1059 1185 1412 1580 1765 2118 2370 3530 4236 4740 5295 7060 10590 21180 27887 55774 59951 83661 111548 119902 139435 167322 179853 239804 278870 299755 334644 359706 418305 557740 599510 719412 836610 899265 1199020 1673220 1798530 3597060 4736129 9472258 14208387 18944516 21162703 23680645 28416774 42325406 47361290 56833548 63488109 71041935 84650812 94722580 105813515 126976218 142083870 211627030 253952436 284167740 317440545 423254060 634881090 1269762180 1671853537 3343707074 5015560611 6687414148 8359267685 10031121222 16718535370 20062242444 25077803055 33437070740 50155606110 100311212220