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1102000400 = 245231181491
BaseRepresentation
bin100000110101111…
…0011000100010000
32211210121102100122
41001223303010100
54224103003100
6301203405412
736210564104
oct10153630420
92753542318
101102000400
11516061236
12269083868
13147401357
14a64dd904
1566b2d985
hex41af3110

1102000400 has 120 divisors (see below), whose sum is σ = 2753657088. Its totient is φ = 423360000.

The previous prime is 1102000397. The next prime is 1102000421. The reversal of 1102000400 is 40002011.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 2244155 + ... + 2244645.

Almost surely, 21102000400 is an apocalyptic number.

1102000400 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 1102000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376828544).

1102000400 is an abundant number, since it is smaller than the sum of its proper divisors (1651656688).

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

1102000400 is a wasteful number, since it uses less digits than its factorization.

1102000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1102000400 is about 33196.3913701474. The cubic root of 1102000400 is about 1032.9054859585.

Adding to 1102000400 its reverse (40002011), we get a palindrome (1142002411).

The spelling of 1102000400 in words is "one billion, one hundred two million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 181 200 248 310 362 400 491 496 620 724 775 905 982 1240 1448 1550 1810 1964 2455 2480 2896 3100 3620 3928 4525 4910 5611 6200 7240 7856 9050 9820 11222 12275 12400 14480 15221 18100 19640 22444 24550 28055 30442 36200 39280 44888 49100 56110 60884 72400 76105 88871 89776 98200 112220 121768 140275 152210 177742 196400 224440 243536 280550 304420 355484 380525 444355 448880 561100 608840 710968 761050 888710 1122200 1217680 1421936 1522100 1777420 2221775 2244400 2755001 3044200 3554840 4443550 5510002 6088400 7109680 8887100 11020004 13775005 17774200 22040008 27550010 35548400 44080016 55100020 68875025 110200040 137750050 220400080 275500100 551000200 1102000400