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101201402101332 = 223136171051421291
BaseRepresentation
bin10111000000101011001001…
…100111110111111001010100
3111021022202111201022202201010
4113000223021213313321110
5101231040432414220312
6555123140551132220
730213363041412261
oct2700531147677124
9437282451282633
10101201402101332
112a2783011977a5
12b425614974070
1344613360669c0
141adc261638268
15ba773261793c
hex5c0ac99f7e54

101201402101332 has 48 divisors (see below), whose sum is σ = 254713116514752. Its totient is φ = 31088424702720.

The previous prime is 101201402101309. The next prime is 101201402101399. The reversal of 101201402101332 is 233101204102101.

It is a junction number, because it is equal to n+sod(n) for n = 101201402101299 and 101201402101308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525614394 + ... + 525806897.

It is an arithmetic number, because the mean of its divisors is an integer number (5306523260724).

Almost surely, 2101201402101332 is an apocalyptic number.

101201402101332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101201402101332 is an abundant number, since it is smaller than the sum of its proper divisors (153511714413420).

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

101201402101332 is a wasteful number, since it uses less digits than its factorization.

101201402101332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051421928 (or 1051421926 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101201402101332 its reverse (233101204102101), we get a palindrome (334302606203433).

The spelling of 101201402101332 in words is "one hundred one trillion, two hundred one billion, four hundred two million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 617 1234 1851 2468 3702 7404 8021 16042 24063 32084 48126 96252 1051421291 2102842582 3154263873 4205685164 6308527746 12617055492 13668476783 27336953566 41005430349 54673907132 82010860698 164021721396 648726936547 1297453873094 1946180809641 2594907746188 3892361619282 7784723238564 8433450175111 16866900350222 25300350525333 33733800700444 50600701050666 101201402101332