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10102103000 = 2353111396607
BaseRepresentation
bin10010110100010000…
…11101101111011000
3222002000220000002222
421122020131233120
5131142114244000
64350231043212
7505224313223
oct113210355730
928060800088
1010102103000
114314412560
121b5b210508
13c4cbb9252
146bb9405ba
153e1d2aa85
hex25a21dbd8

10102103000 has 128 divisors (see below), whose sum is σ = 25977369600. Its totient is φ = 3646512000.

The previous prime is 10102102979. The next prime is 10102103003. The reversal of 10102103000 is 30120101.

10102103000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102103003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1525697 + ... + 1532303.

It is an arithmetic number, because the mean of its divisors is an integer number (202948200).

Almost surely, 210102103000 is an apocalyptic number.

10102103000 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 10102103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12988684800).

10102103000 is an abundant number, since it is smaller than the sum of its proper divisors (15875266600).

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

10102103000 is a wasteful number, since it uses less digits than its factorization.

10102103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6778 (or 6764 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10102103000 its reverse (30120101), we get a palindrome (10132223101).

The spelling of 10102103000 in words is "ten billion, one hundred two million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 139 200 220 250 275 278 440 500 550 556 695 1000 1100 1112 1375 1390 1529 2200 2750 2780 3058 3475 5500 5560 6116 6607 6950 7645 11000 12232 13214 13900 15290 17375 26428 27800 30580 33035 34750 38225 52856 61160 66070 69500 72677 76450 132140 139000 145354 152900 165175 191125 264280 290708 305800 330350 363385 382250 581416 660700 726770 764500 825875 918373 1321400 1453540 1529000 1651750 1816925 1836746 2907080 3303500 3633850 3673492 4591865 6607000 7267700 7346984 9084625 9183730 10102103 14535400 18169250 18367460 20204206 22959325 36338500 36734920 40408412 45918650 50510515 72677000 80816824 91837300 101021030 114796625 183674600 202042060 229593250 252552575 404084120 459186500 505105150 918373000 1010210300 1262762875 2020420600 2525525750 5051051500 10102103000