Search a number
-
+
20211102120200 = 235267260737087
BaseRepresentation
bin1001001100001110000111…
…00011111111100100001000
32122120011101110100022222012
410212013003203333210020
510122114314120321300
6110552504021115052
74154126644314155
oct446070343774410
978504343308865
1020211102120200
116492531276492
122325069258a88
13b37b8b7340b4
144dc3189d322c
15250b0cd1c435
hex1261c38ff908

20211102120200 has 144 divisors (see below), whose sum is σ = 47782511723520. Its totient is φ = 7950443276160.

The previous prime is 20211102120197. The next prime is 20211102120203. The reversal of 20211102120200 is 202120111202.

It is an interprime number because it is at equal distance from previous prime (20211102120197) and next prime (20211102120203).

It is not an unprimeable number, because it can be changed into a prime (20211102120203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 544946057 + ... + 544983143.

It is an arithmetic number, because the mean of its divisors is an integer number (331822998080).

Almost surely, 220211102120200 is an apocalyptic number.

20211102120200 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 20211102120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23891255861760).

20211102120200 is an abundant number, since it is smaller than the sum of its proper divisors (27571409603320).

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

20211102120200 is a wasteful number, since it uses less digits than its factorization.

20211102120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37844 (or 37768 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20211102120200 its reverse (202120111202), we get a palindrome (20413222231402).

The spelling of 20211102120200 in words is "twenty trillion, two hundred eleven billion, one hundred two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 607 670 1214 1340 1675 2428 2680 3035 3350 4489 4856 6070 6700 8978 12140 13400 15175 17956 22445 24280 30350 35912 37087 40669 44890 60700 74174 81338 89780 112225 121400 148348 162676 179560 185435 203345 224450 296696 325352 370870 406690 448900 741740 813380 897800 927175 1016725 1483480 1626760 1854350 2033450 2484829 2724823 3708700 4066900 4969658 5449646 7417400 8133800 9939316 10899292 12424145 13624115 19878632 21798584 22511809 24848290 27248230 45023618 49696580 54496460 62120725 68120575 90047236 99393160 108992920 112559045 124241450 136241150 166483543 180094472 225118090 248482900 272482300 332967086 450236180 496965800 544964600 562795225 665934172 832417715 900472360 1125590450 1331868344 1508291203 1664835430 2251180900 3016582406 3329670860 4162088575 4502361800 6033164812 6659341720 7541456015 8324177150 12066329624 15082912030 16648354300 30165824060 33296708600 37707280075 60331648120 75414560150 101055510601 150829120300 202111021202 301658240600 404222042404 505277553005 808444084808 1010555106010 2021110212020 2526387765025 4042220424040 5052775530050 10105551060100 20211102120200