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1261463202132 = 2237293251159287
BaseRepresentation
bin10010010110110101000…
…100001110100101010100
311110121001112120021201020
4102112311010032211110
5131131434034432012
62403301434201140
7160065143205120
oct22266504164524
94417045507636
101261463202132
11446a90100611
121845915831b0
1391c56221c73
14450ab462580
1522c30b19a8c
hex125b510e954

1261463202132 has 96 divisors (see below), whose sum is σ = 3480990750720. Its totient is φ = 347880624000.

The previous prime is 1261463202121. The next prime is 1261463202133. The reversal of 1261463202132 is 2312023641621.

It is a junction number, because it is equal to n+sod(n) for n = 1261463202093 and 1261463202102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261463202133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7839793 + ... + 7999079.

It is an arithmetic number, because the mean of its divisors is an integer number (36260320320).

Almost surely, 21261463202132 is an apocalyptic number.

1261463202132 is a gapful number since it is divisible by the number (12) 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 1261463202132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740495375360).

1261463202132 is an abundant number, since it is smaller than the sum of its proper divisors (2219527548588).

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

1261463202132 is a wasteful number, since it uses less digits than its factorization.

1261463202132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162581 (or 162579 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 1261463202132 its reverse (2312023641621), we get a palindrome (3573486843753).

The spelling of 1261463202132 in words is "one trillion, two hundred sixty-one billion, four hundred sixty-three million, two hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 3251 6502 9753 13004 19506 22757 39012 45514 68271 91028 94279 136542 159287 188558 273084 282837 318574 377116 477861 565674 637148 659953 955722 1115009 1131348 1319906 1911444 1979859 2230018 2639812 3345027 3959718 4460036 4619323 6690054 7919436 9238646 13380108 13857969 18477292 27715938 32335261 55431876 64670522 97005783 129341044 194011566 388023132 517842037 1035684074 1553526111 2071368148 3107052222 3624894259 6214104444 7249788518 10874682777 14499577036 15017419073 21749365554 30034838146 43498731108 45052257219 60069676292 90104514438 105121933511 180209028876 210243867022 315365800533 420487734044 630731601066 1261463202132