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120022032102 = 237191932692897
BaseRepresentation
bin110111111000111011…
…1101101111011100110
3102110210112121221212020
41233301313231323212
53431301120011402
6131045400404010
711446154303640
oct1576167557346
9373715557766
10120022032102
11469a0343175
121b317176606
13b41992c70b
145b4823d890
1531c6da88bc
hex1bf1dedee6

120022032102 has 128 divisors (see below), whose sum is σ = 291450700800. Its totient is φ = 32187580416.

The previous prime is 120022032023. The next prime is 120022032131. The reversal of 120022032102 is 201230220021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41428318 + ... + 41431214.

It is an arithmetic number, because the mean of its divisors is an integer number (2276958600).

Almost surely, 2120022032102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120022032102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145725350400).

120022032102 is an abundant number, since it is smaller than the sum of its proper divisors (171428668698).

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

120022032102 is a wasteful number, since it uses less digits than its factorization.

120022032102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390.

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

Adding to 120022032102 its reverse (201230220021), we get a palindrome (321252252123).

The spelling of 120022032102 in words is "one hundred twenty billion, twenty-two million, thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 193 266 269 386 399 538 579 798 807 1158 1351 1614 1883 2702 2897 3667 3766 4053 5111 5649 5794 7334 8106 8691 10222 11001 11298 15333 17382 20279 22002 25669 30666 35777 40558 51338 51917 55043 60837 71554 77007 103834 107331 110086 121674 154014 155751 165129 214662 311502 330258 363419 385301 559121 726838 770602 779293 986423 1090257 1118242 1155903 1558586 1677363 1972846 2180514 2311806 2337879 2959269 3354726 3913847 4675758 5455051 5918538 6904961 7827694 10623299 10910102 11741541 13809922 14806567 16365153 20714883 21246598 23483082 29613134 31869897 32730306 41429766 44419701 63739794 74363093 88839402 103645969 148726186 150403549 207291938 223089279 300807098 310937907 446178558 451210647 621875814 902421294 1052824843 2105649686 2857667431 3158474529 5715334862 6316949058 8573002293 17146004586 20003672017 40007344034 60011016051 120022032102