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10121030040 = 23351131247337
BaseRepresentation
bin10010110110100001…
…01010100110011000
3222010100111121010110
421123100222212120
5131211440430130
64352144444320
7505544223132
oct113320524630
928110447113
1010121030040
11432406a740
121b656196a0
13c53ab5194
146c026a052
153e3818ab0
hex25b42a998

10121030040 has 128 divisors (see below), whose sum is σ = 34192005120. Its totient is φ = 2374425600.

The previous prime is 10121030027. The next prime is 10121030041. The reversal of 10121030040 is 4003012101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10121029998 and 10121030025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121030041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82749 + ... + 164588.

It is an arithmetic number, because the mean of its divisors is an integer number (267125040).

Almost surely, 210121030040 is an apocalyptic number.

10121030040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121030040 is an abundant number, since it is smaller than the sum of its proper divisors (24070975080).

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

10121030040 is a wasteful number, since it uses less digits than its factorization.

10121030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247393 (or 247389 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10121030040 its reverse (4003012101), we get a palindrome (14124042141).

The spelling of 10121030040 in words is "ten billion, one hundred twenty-one million, thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 372 440 465 620 660 682 744 930 1023 1240 1320 1364 1705 1860 2046 2728 3410 3720 4092 5115 6820 8184 10230 13640 20460 40920 247337 494674 742011 989348 1236685 1484022 1978696 2473370 2720707 2968044 3710055 4946740 5441414 5936088 7420110 7667447 8162121 9893480 10882828 13603535 14840220 15334894 16324242 21765656 23002341 27207070 29680440 30669788 32648484 38337235 40810605 46004682 54414140 61339576 65296968 76674470 81621210 84341917 92009364 108828280 115011705 153348940 163242420 168683834 184018728 230023410 253025751 306697880 326484840 337367668 421709585 460046820 506051502 674735336 843419170 920093640 1012103004 1265128755 1686838340 2024206008 2530257510 3373676680 5060515020 10121030040