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210201011010 = 23451075414483
BaseRepresentation
bin1100001111000011110…
…1001110001101000010
3202002120021021201220000
43003300331032031002
511420442424323020
6240322013100430
721120656053614
oct3036075161502
9662507251800
10210201011010
1181166a99811
12348a3a87716
1316a8b858b73
14a260c0adb4
155703cdb090
hex30f0f4e342

210201011010 has 160 divisors (see below), whose sum is σ = 571671473472. Its totient is φ = 55414730880.

The previous prime is 210201010997. The next prime is 210201011023. The reversal of 210201011010 is 10110102012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (210201010997) and next prime (210201011023).

It is a super-2 number, since 2×2102010110102 (a number of 23 digits) contains 22 as substring.

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 = 210201010983 and 210201011001.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46886229 + ... + 46890711.

Almost surely, 2210201011010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210201011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285835736736).

210201011010 is an abundant number, since it is smaller than the sum of its proper divisors (361470462462).

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

210201011010 is a wasteful number, since it uses less digits than its factorization.

210201011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 210201011010 its reverse (10110102012), we get a palindrome (220311113022).

The spelling of 210201011010 in words is "two hundred ten billion, two hundred one million, eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 107 135 162 214 270 321 405 535 541 642 810 963 1070 1082 1605 1623 1926 2705 2889 3210 3246 4483 4815 4869 5410 5778 8115 8667 8966 9630 9738 13449 14445 14607 16230 17334 22415 24345 26898 28890 29214 40347 43335 43821 44830 48690 57887 67245 73035 80694 86670 87642 115774 121041 134490 146070 173661 201735 219105 242082 289435 347322 363123 403470 438210 479681 520983 578870 605205 726246 868305 959362 1041966 1210410 1439043 1562949 1736610 1815615 2398405 2425303 2604915 2878086 3125898 3631230 4317129 4688847 4796810 4850606 5209830 7195215 7275909 7814745 8634258 9377694 12126515 12951387 14390430 14551818 15629490 21585645 21827727 23444235 24253030 25902774 36379545 38854161 43171290 43655454 46888470 64756935 65483181 72759090 77708322 109138635 129513870 130966362 194270805 196449543 218277270 259507421 327415905 388541610 392899086 519014842 654831810 778522263 982247715 1297537105 1557044526 1964495430 2335566789 2595074210 3892611315 4671133578 7006700367 7785222630 11677833945 14013400734 21020101101 23355667890 35033501835 42040202202 70067003670 105100505505 210201011010