Search a number
-
+
101200000002210 = 23351929680244673
BaseRepresentation
bin10111000000101001110110…
…000011010010100010100010
3111021022121220000000202022000
4113000221312003102202202
5101231030100000032320
6555122345503224430
730213313224644604
oct2700516603224242
9437277800022260
10101200000002210
112a2777517a499a
12b4252a32a8116
134461171731955
141adc16b33b174
15ba769e4aac90
hex5c0a760d28a2

101200000002210 has 128 divisors (see below), whose sum is σ = 293865699168000. Its totient is φ = 24684718657536.

The previous prime is 101200000002203. The next prime is 101200000002359. The reversal of 101200000002210 is 12200000002101.

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 = 101200000002192 and 101200000002201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339973567 + ... + 340271106.

It is an arithmetic number, because the mean of its divisors is an integer number (2295825774750).

Almost surely, 2101200000002210 is an apocalyptic number.

101200000002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101200000002210 is an abundant number, since it is smaller than the sum of its proper divisors (192665699165790).

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

101200000002210 is a wasteful number, since it uses less digits than its factorization.

101200000002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680244737 (or 680244731 counting only the distinct ones).

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

Adding to 101200000002210 its reverse (12200000002101), we get a palindrome (113400000004311).

The spelling of 101200000002210 in words is "one hundred one trillion, two hundred billion, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 29 30 38 45 54 57 58 87 90 95 114 135 145 171 174 190 261 270 285 290 342 435 513 522 551 570 783 855 870 1026 1102 1305 1566 1653 1710 2565 2610 2755 3306 3915 4959 5130 5510 7830 8265 9918 14877 16530 24795 29754 49590 74385 148770 680244673 1360489346 2040734019 3401223365 4081468038 6122202057 6802446730 10203670095 12244404114 12924648787 18366606171 19727095517 20407340190 25849297574 30611010285 36733212342 38773946361 39454191034 59181286551 61222020570 64623243935 77547892722 91833030855 98635477585 116321839083 118362573102 129246487870 177543859653 183666061710 193869731805 197270955170 232643678166 295906432755 348965517249 355087719306 374814814823 387739463610 532631578959 581609195415 591812865510 697931034498 749629629646 887719298265 1065263157918 1124444444469 1163218390830 1744827586245 1775438596530 1874074074115 2248888888938 2663157894795 3373333333407 3489655172490 3748148148230 5326315789590 5622222222345 6746666666814 10120000000221 11244444444690 16866666667035 20240000000442 33733333334070 50600000001105 101200000002210