Search a number
-
+
101002012122210 = 23597320310836277
BaseRepresentation
bin10110111101110001011101…
…000011011101110001100010
3111020121200211212220100112120
4112331301131003131301202
5101214304110100402320
6554451403412005110
730163104005511633
oct2675613503356142
9436550755810476
10101002012122210
112a2007927a9291
12b3b2a49600796
1344485ab241634
141ad274858b88a
15ba24629e0440
hex5bdc5d0ddc62

101002012122210 has 64 divisors (see below), whose sum is σ = 244980331327872. Its totient is φ = 26647876417536.

The previous prime is 101002012122197. The next prime is 101002012122211. The reversal of 101002012122210 is 12221210200101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101002012122210.

It is not an unprimeable number, because it can be changed into a prime (101002012122211) 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, 3902592 + ... + 14738868.

It is an arithmetic number, because the mean of its divisors is an integer number (3827817676998).

Almost surely, 2101002012122210 is an apocalyptic number.

101002012122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101002012122210 is an abundant number, since it is smaller than the sum of its proper divisors (143978319205662).

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

101002012122210 is a wasteful number, since it uses less digits than its factorization.

101002012122210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10839587.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101002012122210 its reverse (12221210200101), we get a palindrome (113223222322311).

The spelling of 101002012122210 in words is "one hundred one trillion, two billion, twelve million, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 97 194 291 485 582 970 1455 2910 3203 6406 9609 16015 19218 32030 48045 96090 310691 621382 932073 1553455 1864146 3106910 4660365 9320730 10836277 21672554 32508831 54181385 65017662 108362770 162544155 325088310 1051118869 2102237738 3153356607 5255594345 6306713214 10511188690 15766783035 31533566070 34708595231 69417190462 104125785693 173542976155 208251571386 347085952310 520628928465 1041257856930 3366733737407 6733467474814 10100201212221 16833668687035 20200402424442 33667337374070 50501006061105 101002012122210