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101021200020 = 223251323320881
BaseRepresentation
bin101111000010101010…
…1010010111010010100
3100122202100012200022200
41132011111102322110
53123342411400040
6114224122524500
710204254014016
oct1360525227224
9318670180280
10101021200020
113992a919864
12176b3966730
1396ac260300
144c6492a1b6
152963c07630
hex1785552e94

101021200020 has 108 divisors (see below), whose sum is σ = 331815887676. Its totient is φ = 24866749440.

The previous prime is 101021200009. The next prime is 101021200097. The reversal of 101021200020 is 20002120101.

It can be written as a sum of positive squares in 6 ways, for example, as 3598560144 + 97422639876 = 59988^2 + 312126^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101021199975 and 101021200011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1630021 + ... + 1690860.

Almost surely, 2101021200020 is an apocalyptic number.

101021200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021200020 is an abundant number, since it is smaller than the sum of its proper divisors (230794687656).

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

101021200020 is a wasteful number, since it uses less digits than its factorization.

101021200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320922 (or 3320904 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101021200020 its reverse (20002120101), we get a palindrome (121023320121).

The spelling of 101021200020 in words is "one hundred one billion, twenty-one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2535 3042 3380 5070 6084 7605 10140 15210 30420 3320881 6641762 9962643 13283524 16604405 19925286 29887929 33208810 39850572 43171453 49813215 59775858 66417620 86342906 99626430 119551716 129514359 149439645 172685812 199252860 215857265 259028718 298879290 388543077 431714530 518057436 561228889 597758580 647571795 777086154 863429060 1122457778 1295143590 1554172308 1683686667 1942715385 2244915556 2590287180 2806144445 3367373334 3885430770 5051060001 5612288890 6734746668 7770861540 8418433335 10102120002 11224577780 16836866670 20204240004 25255300005 33673733340 50510600010 101021200020