Search a number
-
+
212101010021010 = 235117153407169501
BaseRepresentation
bin110000001110011110011101…
…010110111101101010010010
31000210222122210001212212222010
4300032132131112331222102
5210300030332031133020
62031033505302523350
762450535516334305
oct6016363526755222
91023878701785863
10212101010021010
1161644595770a60
121b95671b136556
1391470687c6666
143a53a5a85cb3c
15197c379c09de0
hexc0e79d5bda92

212101010021010 has 128 divisors (see below), whose sum is σ = 563154269257728. Its totient is φ = 50692975200000.

The previous prime is 212101010020997. The next prime is 212101010021051. The reversal of 212101010021010 is 10120010101212.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1251241260 + ... + 1251410760.

It is an arithmetic number, because the mean of its divisors is an integer number (4399642728576).

Almost surely, 2212101010021010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212101010021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281577134628864).

212101010021010 is an abundant number, since it is smaller than the sum of its proper divisors (351053259236718).

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

212101010021010 is a wasteful number, since it uses less digits than its factorization.

212101010021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223000.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212101010021010 its reverse (10120010101212), we get a palindrome (222221020122222).

The spelling of 212101010021010 in words is "two hundred twelve trillion, one hundred one billion, ten million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 330 355 426 710 781 1065 1562 2130 2343 3905 4686 7810 11715 23430 53407 106814 160221 169501 267035 320442 339002 508503 534070 587477 801105 847505 1017006 1174954 1602210 1695010 1762431 1864511 2542515 2937385 3524862 3729022 3791897 5085030 5593533 5874770 7583794 8812155 9322555 11187066 11375691 12034571 17624310 18645110 18959485 22751382 24069142 27967665 36103713 37918970 41710867 55935330 56878455 60172855 72207426 83421734 113756910 120345710 125132601 132380281 180518565 208554335 250265202 264760562 361037130 397140843 417108670 625663005 661901405 794281686 1251326010 1323802810 1985704215 3971408430 9052539907 18105079814 27157619721 45262699535 54315239442 90525399070 99577938977 135788098605 199155877954 271576197210 298733816931 497889694885 597467633862 642730333397 995779389770 1285460666794 1493669084655 1928191000191 2987338169310 3213651666985 3856382000382 6427303333970 7070033667367 9640955000955 14140067334734 19281910001910 21210101002101 35350168336835 42420202004202 70700336673670 106050505010505 212101010021010