Search a number
-
+
100021202112 = 26313174123017
BaseRepresentation
bin101110100100110111…
…0100110110011000000
3100120011122112112002010
41131021232212303000
53114320411431422
6113541001252520
710140422122146
oct1351156466300
9316148475063
10100021202112
11394673a7607
1217474a94140
139580024080
144babbbd596
152906026b0c
hex1749ba6cc0

100021202112 has 112 divisors (see below), whose sum is σ = 285172395872. Its totient is φ = 30756741120.

The previous prime is 100021202093. The next prime is 100021202147. The reversal of 100021202112 is 211202120001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4334028 + ... + 4357044.

It is an arithmetic number, because the mean of its divisors is an integer number (2546182106).

Almost surely, 2100021202112 is an apocalyptic number.

100021202112 is a gapful number since it is divisible by the number (12) 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 100021202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142586197936).

100021202112 is an abundant number, since it is smaller than the sum of its proper divisors (185151193760).

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

100021202112 is a wasteful number, since it uses less digits than its factorization.

100021202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24786 (or 24776 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100021202112 its reverse (211202120001), we get a palindrome (311223322113).

The spelling of 100021202112 in words is "one hundred billion, twenty-one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1741 2496 3482 5223 6964 10446 13928 20892 22633 23017 27856 41784 45266 46034 55712 67899 69051 83568 90532 92068 111424 135798 138102 167136 181064 184136 271596 276204 299221 334272 362128 368272 543192 552408 598442 724256 736544 897663 1086384 1104816 1196884 1448512 1473088 1795326 2172768 2209632 2393768 3590652 4345536 4419264 4787536 7181304 9575072 14362608 19150144 28725216 40072597 57450432 80145194 120217791 160290388 240435582 320580776 480871164 520943761 641161552 961742328 1041887522 1282323104 1562831283 1923484656 2083775044 2564646208 3125662566 3846969312 4167550088 6251325132 7693938624 8335100176 12502650264 16670200352 25005300528 33340400704 50010601056 100021202112