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100221032214 = 2347111237759
BaseRepresentation
bin101110101010110100…
…0111001011100010110
3100120200120112221110000
41131111220321130112
53120223041012324
6114012500312130
710145366501202
oct1352550713426
9316616487400
10100221032214
113955a183956
121750b9a2646
1395b254bc34
144bca559b02
15291884a9c9
hex1755a39716

100221032214 has 80 divisors (see below), whose sum is σ = 227964464640. Its totient is φ = 32902919280.

The previous prime is 100221032159. The next prime is 100221032243. The reversal of 100221032214 is 412230122001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12912867 + ... + 12920625.

It is an arithmetic number, because the mean of its divisors is an integer number (2849555808).

Almost surely, 2100221032214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221032214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113982232320).

100221032214 is an abundant number, since it is smaller than the sum of its proper divisors (127743432426).

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

100221032214 is a wasteful number, since it uses less digits than its factorization.

100221032214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8967 (or 8958 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100221032214 its reverse (412230122001), we get a palindrome (512451154215).

The spelling of 100221032214 in words is "one hundred billion, two hundred twenty-one million, thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 426 639 1123 1278 1917 2246 3369 3834 5751 6738 7759 10107 11502 15518 20214 23277 30321 46554 60642 69831 79733 90963 139662 159466 181926 209493 239199 418986 478398 550889 628479 717597 1101778 1256958 1435194 1652667 2152791 3305334 4305582 4958001 6458373 8713357 9916002 12916746 14874003 17426714 26140071 29748006 44622009 52280142 78420213 89244018 156840426 235260639 470521278 618648347 705781917 1237296694 1411563834 1855945041 3711890082 5567835123 11135670246 16703505369 33407010738 50110516107 100221032214