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220210002101012 = 227111496352175541
BaseRepresentation
bin110010000100011110100010…
…111100111000001100010100
31001212200212111200002121220012
4302010132202330320030110
5212330410041014213022
62100203024533255352
764245435064625660
oct6204364274701424
91055625450077805
10220210002101012
11641905a0361070
1220846210194558
1395b4938b36641
143c543144b18a0
151a6d27a51ede2
hexc847a2f38314

220210002101012 has 96 divisors (see below), whose sum is σ = 483696755539200. Its totient is φ = 85217822208000.

The previous prime is 220210002100999. The next prime is 220210002101017. The reversal of 220210002101012 is 210101200012022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220210002101017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2915067962 + ... + 2915143502.

It is an arithmetic number, because the mean of its divisors is an integer number (5038507870200).

Almost surely, 2220210002101012 is an apocalyptic number.

220210002101012 is a gapful number since it is divisible by the number (22) 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 220210002101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241848377769600).

220210002101012 is an abundant number, since it is smaller than the sum of its proper divisors (263486753438188).

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

220210002101012 is a wasteful number, since it uses less digits than its factorization.

220210002101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139233 (or 139231 counting only the distinct ones).

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

Adding to 220210002101012 its reverse (210101200012022), we get a palindrome (430311202113034).

The spelling of 220210002101012 in words is "two hundred twenty trillion, two hundred ten billion, two million, one hundred one thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 149 154 298 308 596 1043 1639 2086 3278 4172 6556 11473 22946 45892 63521 75541 127042 151082 254084 302164 444647 528787 698731 830951 889294 1057574 1397462 1661902 1778588 2115148 2794924 3323804 4891117 5816657 9464629 9782234 11255609 11633314 18929258 19564468 22511218 23266628 37858516 45022436 66252403 78789263 104110919 123811699 132504806 157578526 208221838 247623398 265009612 315157052 416443676 495246796 728776433 866681893 1457552866 1733363786 2915105732 3466727572 4798439861 9596879722 19193759444 33589079027 52782838471 67178158054 105565676942 134356316108 211131353884 369479869297 714967539289 738959738594 1429935078578 1477919477188 2859870157156 5004772775023 7864642932179 10009545550046 15729285864358 20019091100092 31458571728716 55052500525253 110105001050506 220210002101012