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10110132000 = 253253280837
BaseRepresentation
bin10010110101001110…
…00101111100100000
3222002120222220211100
421122213011330200
5131201143211000
64351115114400
7505352463333
oct113247057440
928076886740
1010110132000
1143189a68a1
121b61a42a00
13c5176a937
146bca3061a
153e28b4a00
hex25a9c5f20

10110132000 has 144 divisors (see below), whose sum is σ = 35880986232. Its totient is φ = 2696025600.

The previous prime is 10110131987. The next prime is 10110132029. The reversal of 10110132000 is 23101101.

It can be written as a sum of positive squares in 4 ways, for example, as 4389327504 + 5720804496 = 66252^2 + 75636^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104419 + ... + 176418.

Almost surely, 210110132000 is an apocalyptic number.

10110132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110132000 is an abundant number, since it is smaller than the sum of its proper divisors (25770854232).

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

10110132000 is a wasteful number, since it uses less digits than its factorization.

10110132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280868 (or 280847 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10110132000 its reverse (23101101), we get a palindrome (10133233101).

The spelling of 10110132000 in words is "ten billion, one hundred ten million, one hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 280837 561674 842511 1123348 1404185 1685022 2246696 2527533 2808370 3370044 4212555 4493392 5055066 5616740 6740088 7020925 8425110 8986784 10110132 11233480 12637665 13480176 14041850 16850220 20220264 21062775 22466960 25275330 26960352 28083700 33700440 35104625 40440528 42125550 44933920 50550660 56167400 63188325 67400880 70209250 80881056 84251100 101101320 105313875 112334800 126376650 134801760 140418500 168502200 202202640 210627750 224669600 252753300 280837000 315941625 337004400 404405280 421255500 505506600 561674000 631883250 674008800 842511000 1011013200 1123348000 1263766500 1685022000 2022026400 2527533000 3370044000 5055066000 10110132000