Search a number
-
+
100122101000 = 2353127788363
BaseRepresentation
bin101110100111110111…
…1100000010100001000
3100120102200101201022222
41131033233200110020
53120022224213000
6113555004033212
710143055550045
oct1351757402410
9316380351288
10100122101000
1139509352419
12174a2832808
139597bc0a5c
144bbb3661cc
15290ed07a85
hex174fbe0508

100122101000 has 64 divisors (see below), whose sum is σ = 236130785280. Its totient is φ = 39733444800.

The previous prime is 100122100987. The next prime is 100122101029. The reversal of 100122101000 is 101221001.

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

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, 267182 + ... + 521181.

It is an arithmetic number, because the mean of its divisors is an integer number (3689543520).

Almost surely, 2100122101000 is an apocalyptic number.

100122101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122101000 is an abundant number, since it is smaller than the sum of its proper divisors (136008684280).

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

100122101000 is a wasteful number, since it uses less digits than its factorization.

100122101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788511 (or 788497 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100122101000 its reverse (101221001), we get a palindrome (100223322001).

The spelling of 100122101000 in words is "one hundred billion, one hundred twenty-two million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 127 200 250 254 500 508 635 1000 1016 1270 2540 3175 5080 6350 12700 15875 25400 31750 63500 127000 788363 1576726 3153452 3941815 6306904 7883630 15767260 19709075 31534520 39418150 78836300 98545375 100122101 157672600 197090750 200244202 394181500 400488404 500610505 788363000 800976808 1001221010 2002442020 2503052525 4004884040 5006105050 10012210100 12515262625 20024420200 25030525250 50061050500 100122101000