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211034021420 = 225438918115233
BaseRepresentation
bin1100010010001010011…
…0111001111000101100
3202011201022202001100102
43010202212321320230
511424144202141140
6240540411250232
721150422404445
oct3044246717054
9664638661312
10211034021420
1181554226872
1234a96a49978
1316b922c9031
14a2dd6ca2cc
155751ed3e15
hex31229b9e2c

211034021420 has 96 divisors (see below), whose sum is σ = 461136836160. Its totient is φ = 81068359680.

The previous prime is 211034021411. The next prime is 211034021441. The reversal of 211034021420 is 24120430112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211034021392 and 211034021401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13846124 + ... + 13861356.

It is an arithmetic number, because the mean of its divisors is an integer number (4803508710).

Almost surely, 2211034021420 is an apocalyptic number.

211034021420 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 211034021420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230568418080).

211034021420 is an abundant number, since it is smaller than the sum of its proper divisors (250102814740).

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

211034021420 is a wasteful number, since it uses less digits than its factorization.

211034021420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15555 (or 15553 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211034021420 its reverse (24120430112), we get a palindrome (235154451532).

The spelling of 211034021420 in words is "two hundred eleven billion, thirty-four million, twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 89 172 178 181 215 356 362 430 445 724 860 890 905 1780 1810 3620 3827 7654 7783 15233 15308 15566 16109 19135 30466 31132 32218 38270 38915 60932 64436 76165 76540 77830 80545 152330 155660 161090 304660 322180 655019 692687 1310038 1355737 1385374 2620076 2711474 2757173 2770748 3275095 3463435 5422948 5514346 6550190 6778685 6926870 11028692 13100380 13557370 13785865 13853740 27114740 27571730 55143460 58296691 116593382 118558439 233186764 237116878 245388397 291483455 474233756 490776794 582966910 592792195 981553588 1165933820 1185584390 1226941985 2371168780 2453883970 4907767940 10551701071 21103402142 42206804284 52758505355 105517010710 211034021420