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100220100150 = 235210744913907
BaseRepresentation
bin101110101010110010…
…1010101111000110110
3100120200111210120220010
41131111211111320312
53120222321201100
6114012424321050
710145355536622
oct1352545257066
9316614716803
10100220100150
11395596a7655
121750b613186
1395b22b3911
144bca396182
152918714750
hex1755955e36

100220100150 has 96 divisors (see below), whose sum is σ = 251445513600. Its totient is φ = 26414725120.

The previous prime is 100220100089. The next prime is 100220100151. The reversal of 100220100150 is 51001022001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220100151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7199497 + ... + 7213403.

It is an arithmetic number, because the mean of its divisors is an integer number (2619224100).

Almost surely, 2100220100150 is an apocalyptic number.

100220100150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220100150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125722756800).

100220100150 is an abundant number, since it is smaller than the sum of its proper divisors (151225413450).

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

100220100150 is a wasteful number, since it uses less digits than its factorization.

100220100150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14478 (or 14473 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

Adding to 100220100150 its reverse (51001022001), we get a palindrome (151221122151).

The spelling of 100220100150 in words is "one hundred billion, two hundred twenty million, one hundred thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 107 150 214 321 449 535 642 898 1070 1347 1605 2245 2675 2694 3210 4490 5350 6735 8025 11225 13470 13907 16050 22450 27814 33675 41721 48043 67350 69535 83442 96086 139070 144129 208605 240215 288258 347675 417210 480430 695350 720645 1043025 1201075 1441290 1488049 2086050 2402150 2976098 3603225 4464147 6244243 7206450 7440245 8928294 12488486 14880490 18732729 22320735 31221215 37201225 37465458 44641470 62442430 74402450 93663645 111603675 156106075 187327290 223207350 312212150 468318225 668134001 936636450 1336268002 2004402003 3340670005 4008804006 6681340010 10022010015 16703350025 20044020030 33406700050 50110050075 100220100150