Search a number
-
+
100626021240 = 233517101488381
BaseRepresentation
bin101110110110111000…
…1110011101101111000
3100121201210121111221120
41131231301303231320
53122040230134430
6114121004505240
710161415032213
oct1355561635570
9317653544846
10100626021240
1139747847128
121760354b220
139648419304
144c2825c77a
15293e197610
hex176dc73b78

100626021240 has 128 divisors (see below), whose sum is σ = 322800966720. Its totient is φ = 25005056000.

The previous prime is 100626021227. The next prime is 100626021253. The reversal of 100626021240 is 42120626001.

It is an interprime number because it is at equal distance from previous prime (100626021227) and next prime (100626021253).

It is a super-2 number, since 2×1006260212402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100626021240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38151 + ... + 450230.

Almost surely, 2100626021240 is an apocalyptic number.

100626021240 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 100626021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161400483360).

100626021240 is an abundant number, since it is smaller than the sum of its proper divisors (222174945480).

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

100626021240 is a wasteful number, since it uses less digits than its factorization.

100626021240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488513 (or 488509 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 100626021240 its reverse (42120626001), we get a palindrome (142746647241).

The spelling of 100626021240 in words is "one hundred billion, six hundred twenty-six million, twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 101 102 120 136 170 202 204 255 303 340 404 408 505 510 606 680 808 1010 1020 1212 1515 1717 2020 2040 2424 3030 3434 4040 5151 6060 6868 8585 10302 12120 13736 17170 20604 25755 34340 41208 51510 68680 103020 206040 488381 976762 1465143 1953524 2441905 2930286 3907048 4883810 5860572 7325715 8302477 9767620 11721144 14651430 16604954 19535240 24907431 29302860 33209908 41512385 49326481 49814862 58605720 66419816 83024770 98652962 99629724 124537155 147979443 166049540 197305924 199259448 246632405 249074310 295958886 332099080 394611848 493264810 498148620 591917772 739897215 838550177 986529620 996297240 1183835544 1479794430 1677100354 1973059240 2515650531 2959588860 3354200708 4192750885 5031301062 5919177720 6708401416 8385501770 10062602124 12578252655 16771003540 20125204248 25156505310 33542007080 50313010620 100626021240