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102223021200020 = 225715734687134077
BaseRepresentation
bin10111001111100010100110…
…110111011101001010010100
3111101221102111002220012021222
4113033202212313131022110
5101344310221411400040
61001224335130025512
730350240521441460
oct2717424667351224
9441842432805258
10102223021200020
112a6315a35784a6
12b56b60ab78298
13450678829c016
141b35898dcd4a0
15bc40c6d1cbb5
hex5cf8a6ddd294

102223021200020 has 96 divisors (see below), whose sum is σ = 246906855186432. Its totient is φ = 34823394298368.

The previous prime is 102223021199983. The next prime is 102223021200037. The reversal of 102223021200020 is 20002120322201.

It is a congruent number.

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, 762353222 + ... + 762487298.

It is an arithmetic number, because the mean of its divisors is an integer number (2571946408192).

Almost surely, 2102223021200020 is an apocalyptic number.

102223021200020 is a gapful number since it is divisible by the number (10) 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 102223021200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123453427593216).

102223021200020 is an abundant number, since it is smaller than the sum of its proper divisors (144683833986412).

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

102223021200020 is a wasteful number, since it uses less digits than its factorization.

102223021200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168937 (or 168935 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 102223021200020 its reverse (20002120322201), we get a palindrome (122225141522221).

The spelling of 102223021200020 in words is "one hundred two trillion, two hundred twenty-three billion, twenty-one million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 157 314 628 785 1099 1570 2198 3140 4396 5495 10990 21980 34687 69374 134077 138748 173435 242809 268154 346870 485618 536308 670385 693740 938539 971236 1214045 1340770 1877078 2428090 2681540 3754156 4692695 4856180 5445859 9385390 10891718 18770780 21050089 21783436 27229295 38121013 42100178 54458590 76242026 84200356 105250445 108917180 147350623 152484052 190605065 210500890 294701246 381210130 421001780 589402492 736753115 762420260 1473506230 2947012460 4650728899 9301457798 18602915596 23253644495 32555102293 46507288990 65110204586 93014577980 130220409172 162775511465 325551022930 651102045860 730164437143 1460328874286 2920657748572 3650822185715 5111151060001 7301644371430 10222302120002 14603288742860 20444604240004 25555755300005 51111510600010 102223021200020