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210022020001020 = 223513930198341337
BaseRepresentation
bin101111110000001110001111…
…111001011010110011111100
31000112121220112200101021010010
4233300032033321122303330
5210012000044110013040
62022402441203343220
762144406304622613
oct5760161771326374
91015556480337103
10210022020001020
1160a12925034017
121b67b811681b10
139025cb74500b6
1439c119741c87a
15194324c261e80
hexbf038fe5acfc

210022020001020 has 96 divisors (see below), whose sum is σ = 592488574675200. Its totient is φ = 55584527721984.

The previous prime is 210022020001009. The next prime is 210022020001037. The reversal of 210022020001020 is 20100020220012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210022020000987 and 210022020001005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21007792 + ... + 29349128.

It is an arithmetic number, because the mean of its divisors is an integer number (6171755986200).

Almost surely, 2210022020001020 is an apocalyptic number.

210022020001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210022020001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296244287337600).

210022020001020 is an abundant number, since it is smaller than the sum of its proper divisors (382466554674180).

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

210022020001020 is a wasteful number, since it uses less digits than its factorization.

210022020001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8344507 (or 8344505 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210022020001020 its reverse (20100020220012), we get a palindrome (230122040221032).

The spelling of 210022020001020 in words is "two hundred ten trillion, twenty-two billion, twenty million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 3019 4170 6038 8340 9057 12076 15095 18114 30190 36228 45285 60380 90570 181140 419641 839282 1258923 1678564 2098205 2517846 4196410 5035692 6294615 8341337 8392820 12589230 16682674 25024011 25178460 33365348 41706685 50048022 83413370 100096044 125120055 166826740 250240110 500480220 1159445843 2318891686 3478337529 4637783372 5797229215 6956675058 11594458430 13913350116 17391687645 23188916860 25182496403 34783375290 50364992806 69566750580 75547489209 100729985612 125912482015 151094978418 251824964030 302189956836 377737446045 503649928060 755474892090 1510949784180 3500367000017 7000734000034 10501101000051 14001468000068 17501835000085 21002202000102 35003670000170 42004404000204 52505505000255 70007340000340 105011010000510 210022020001020