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10103032440 = 2332523253051
BaseRepresentation
bin10010110100011000…
…00000101001111000
3222002002122020001200
421122030000221320
5131142334014230
64350303014200
7505235234034
oct113214005170
928062566050
1010103032440
114314997896
121b5b59a360
13c50153307
146bbb031c4
153e1e61160
hex25a300a78

10103032440 has 144 divisors (see below), whose sum is σ = 34325174520. Its totient is φ = 2576956800.

The previous prime is 10103032427. The next prime is 10103032481. The reversal of 10103032440 is 4423030101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 163915 + ... + 216965.

Almost surely, 210103032440 is an apocalyptic number.

10103032440 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 10103032440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17162587260).

10103032440 is an abundant number, since it is smaller than the sum of its proper divisors (24222142080).

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

10103032440 is a wasteful number, since it uses less digits than its factorization.

10103032440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53114 (or 53084 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10103032440 its reverse (4423030101), we get a palindrome (14526062541).

The spelling of 10103032440 in words is "ten billion, one hundred three million, thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 529 552 690 828 920 1035 1058 1380 1587 1656 2070 2116 2645 2760 3174 4140 4232 4761 5290 6348 7935 8280 9522 10580 12696 15870 19044 21160 23805 31740 38088 47610 53051 63480 95220 106102 159153 190440 212204 265255 318306 424408 477459 530510 636612 795765 954918 1061020 1220173 1273224 1591530 1909836 2122040 2387295 2440346 3183060 3660519 3819672 4774590 4880692 6100865 6366120 7321038 9549180 9761384 10981557 12201730 14642076 18302595 19098360 21963114 24403460 28063979 29284152 36605190 43926228 48806920 54907785 56127958 73210380 84191937 87852456 109815570 112255916 140319895 146420760 168383874 219631140 224511832 252575811 280639790 336767748 420959685 439262280 505151622 561279580 673535496 841919370 1010303244 1122559160 1262879055 1683838740 2020606488 2525758110 3367677480 5051516220 10103032440