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101002020200 = 23521957146549
BaseRepresentation
bin101111000010000110…
…0001000010101101000
3100122201000010020112222
41132010030020111220
53123323004121300
6114222155453212
710203632002124
oct1360414102550
9318630106488
10101002020200
1139920009774
12176a9457208
1396a82a62c3
144c62176584
1529621b9785
hex1784308568

101002020200 has 96 divisors (see below), whose sum is σ = 247627380000. Its totient is φ = 38206598400.

The previous prime is 101002020199. The next prime is 101002020211. The reversal of 101002020200 is 2020200101.

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 23 ways as a sum of consecutive naturals, for example, 2146526 + ... + 2193074.

It is an arithmetic number, because the mean of its divisors is an integer number (2579451875).

Almost surely, 2101002020200 is an apocalyptic number.

101002020200 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 101002020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123813690000).

101002020200 is an abundant number, since it is smaller than the sum of its proper divisors (146625359800).

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

101002020200 is a wasteful number, since it uses less digits than its factorization.

101002020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47155 (or 47146 counting only the distinct ones).

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

Adding to 101002020200 its reverse (2020200101), we get a palindrome (103022220301).

The spelling of 101002020200 in words is "one hundred one billion, two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 571 760 950 1142 1900 2284 2855 3800 4568 5710 10849 11420 14275 21698 22840 28550 43396 46549 54245 57100 86792 93098 108490 114200 186196 216980 232745 271225 372392 433960 465490 542450 884431 930980 1084900 1163725 1768862 1861960 2169800 2327450 3537724 4422155 4654900 7075448 8844310 9309800 17688620 22110775 26579479 35377240 44221550 53158958 88443100 106317916 132897395 176886200 212635832 265794790 505010101 531589580 664486975 1010020202 1063179160 1328973950 2020040404 2525050505 2657947900 4040080808 5050101010 5315895800 10100202020 12625252525 20200404040 25250505050 50501010100 101002020200