Search a number
-
+
101000002200120 = 233251914766082193
BaseRepresentation
bin10110111101101111100101…
…010000001110001000111000
3111020121111122210212201202200
4112331233211100032020320
5101214241001030400440
6554450432132230200
730163003131453522
oct2675574520161070
9436544583781680
10101000002200120
112a1aa9511a5051
12b3b258846b360
13444834aa0201a
141ad25d766ca12
15ba239631cc30
hex5bdbe540e238

101000002200120 has 96 divisors (see below), whose sum is σ = 345526323339600. Its totient is φ = 25515790027776.

The previous prime is 101000002200107. The next prime is 101000002200173. The reversal of 101000002200120 is 21002200000101.

101000002200120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 7383034257 + ... + 7383047936.

Almost surely, 2101000002200120 is an apocalyptic number.

101000002200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000002200120 is an abundant number, since it is smaller than the sum of its proper divisors (244526321139480).

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

101000002200120 is a wasteful number, since it uses less digits than its factorization.

101000002200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14766082229 (or 14766082222 counting only the distinct ones).

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

Adding to 101000002200120 its reverse (21002200000101), we get a palindrome (122002202200221).

The spelling of 101000002200120 in words is "one hundred one trillion, two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 14766082193 29532164386 44298246579 59064328772 73830410965 88596493158 118128657544 132894739737 147660821930 177192986316 221491232895 265789479474 280555561667 295321643860 354385972632 442982465790 531578958948 561111123334 590643287720 664473698685 841666685001 885964931580 1063157917896 1122222246668 1328947397370 1402777808335 1683333370002 1771929863160 2244444493336 2525000055003 2657894794740 2805555616670 3366666740004 4208333425005 5050000110006 5315789589480 5611111233340 6733333480008 8416666850010 10100000220012 11222222466680 12625000275015 16833333700020 20200000440024 25250000550030 33666667400040 50500001100060 101000002200120