Search a number
-
+
102100111121010 = 23537263349741757
BaseRepresentation
bin10111001101110000001000…
…110110101101101001110010
3111101111200020021220020212110
4113031300020312231221302
5101340302011421333020
61001052051000310150
730335326635136632
oct2715601066555162
9441450207806773
10102100111121010
112a594460a8aa02
12b54b828772356
1344c7ccb225412
141b2d9593aa6c2
15bc0cd16368e0
hex5cdc08dada72

102100111121010 has 64 divisors (see below), whose sum is σ = 252619870770432. Its totient is φ = 26390113940736.

The previous prime is 102100111120993. The next prime is 102100111121011. The reversal of 102100111121010 is 10121111001201.

102100111121010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102100111121011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174578949 + ... + 175162808.

It is an arithmetic number, because the mean of its divisors is an integer number (3947185480788).

Almost surely, 2102100111121010 is an apocalyptic number.

102100111121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100111121010 is an abundant number, since it is smaller than the sum of its proper divisors (150519759649422).

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

102100111121010 is a wasteful number, since it uses less digits than its factorization.

102100111121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349742067.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102100111121010 its reverse (10121111001201), we get a palindrome (112221222122211).

The spelling of 102100111121010 in words is "one hundred two trillion, one hundred billion, one hundred eleven million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 263 370 526 555 789 1110 1315 1578 2630 3945 7890 9731 19462 29193 48655 58386 97310 145965 291930 349741757 699483514 1049225271 1748708785 2098450542 3497417570 5246126355 10492252710 12940445009 25880890018 38821335027 64702225045 77642670054 91982082091 129404450090 183964164182 194106675135 275946246273 388213350270 459910410455 551892492546 919820820910 1379731231365 2759462462730 3403337037367 6806674074734 10210011112101 17016685186835 20420022224202 34033370373670 51050055560505 102100111121010