Search a number
-
+
101002210120020 = 2235111391100961523
BaseRepresentation
bin10110111101110001101000…
…110110110001000101010100
3111020121201100200110200110210
4112331301220312301011110
5101214310011242320040
6554451435203445420
730163111631460006
oct2675615066610524
9436551320420423
10101002210120020
112a200884543a40
12b3b2aa3986870
1344486102774c1
141ad27669ac376
15ba24750a1480
hex5bdc68db1154

101002210120020 has 96 divisors (see below), whose sum is σ = 310735380533760. Its totient is φ = 24309230405760.

The previous prime is 101002210119947. The next prime is 101002210120039. The reversal of 101002210120020 is 20021012200101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101002210119978 and 101002210120005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550389022 + ... + 550572501.

It is an arithmetic number, because the mean of its divisors is an integer number (3236826880560).

Almost surely, 2101002210120020 is an apocalyptic number.

101002210120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002210120020 is an abundant number, since it is smaller than the sum of its proper divisors (209733170413740).

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

101002210120020 is a wasteful number, since it uses less digits than its factorization.

101002210120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100961685 (or 1100961683 counting only the distinct ones).

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

Adding to 101002210120020 its reverse (20021012200101), we get a palindrome (121023222320121).

The spelling of 101002210120020 in words is "one hundred one trillion, two billion, two hundred ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 139 165 220 278 330 417 556 660 695 834 1390 1529 1668 2085 2780 3058 4170 4587 6116 7645 8340 9174 15290 18348 22935 30580 45870 91740 1100961523 2201923046 3302884569 4403846092 5504807615 6605769138 11009615230 12110576753 13211538276 16514422845 22019230460 24221153506 33028845690 36331730259 48442307012 60552883765 66057691380 72663460518 121105767530 145326921036 153033651697 181658651295 242211535060 306067303394 363317302590 459100955091 612134606788 726634605180 765168258485 918201910182 1530336516970 1683370168667 1836403820364 2295504775455 3060673033940 3366740337334 4591009550910 5050110506001 6733480674668 8416850843335 9182019101820 10100221012002 16833701686670 20200442024004 25250552530005 33667403373340 50501105060010 101002210120020