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1102122002000 = 245317127255239
BaseRepresentation
bin10000000010011011100…
…101110010011001010000
310220100202202222122020102
4100002123211302121100
5121024121213031000
62202150255231532
7142424416306205
oct20023345623120
93810682878212
101102122002000
11395453157558
121597225185a8
137cc115ca866
143b4b323dcac
151da06e123d5
hex1009b972650

1102122002000 has 160 divisors (see below), whose sum is σ = 2843920834560. Its totient is φ = 411647846400.

The previous prime is 1102122001987. The next prime is 1102122002011. The reversal of 1102122002000 is 2002212011.

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 31 ways as a sum of consecutive naturals, for example, 4190381 + ... + 4445619.

It is an arithmetic number, because the mean of its divisors is an integer number (17774505216).

Almost surely, 21102122002000 is an apocalyptic number.

1102122002000 is a gapful number since it is divisible by the number (10) 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 1102122002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421960417280).

1102122002000 is an abundant number, since it is smaller than the sum of its proper divisors (1741798832560).

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

1102122002000 is a wasteful number, since it uses less digits than its factorization.

1102122002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255406 (or 255390 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1102122002000 its reverse (2002212011), we get a palindrome (1104124214011).

The spelling of 1102122002000 in words is "one trillion, one hundred two billion, one hundred twenty-two million, two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 127 136 170 200 250 254 272 340 400 425 500 508 635 680 850 1000 1016 1270 1360 1700 2000 2032 2125 2159 2540 3175 3400 4250 4318 5080 6350 6800 8500 8636 10160 10795 12700 15875 17000 17272 21590 25400 31750 34000 34544 43180 50800 53975 63500 86360 107950 127000 172720 215900 254000 255239 269875 431800 510478 539750 863600 1020956 1079500 1276195 2041912 2159000 2552390 4083824 4318000 4339063 5104780 6380975 8678126 10209560 12761950 17356252 20419120 21695315 25523900 31904875 32415353 34712504 43390630 51047800 63809750 64830706 69425008 86781260 102095600 108476575 127619500 129661412 162076765 173562520 216953150 255239000 259322824 324153530 347125040 433906300 510478000 518645648 542382875 551061001 648307060 810383825 867812600 1084765750 1102122002 1296614120 1620767650 1735625200 2169531500 2204244004 2593228240 2755305005 3241535300 4051919125 4339063000 4408488008 5510610010 6483070600 8103838250 8678126000 8816976016 11021220020 12966141200 13776525025 16207676500 22042440040 27553050050 32415353000 44084880080 55106100100 64830706000 68882625125 110212200200 137765250250 220424400400 275530500500 551061001000 1102122002000