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202201101000120 = 23354289888744207
BaseRepresentation
bin101101111110011010011100…
…110011000101110110111000
3222111221020101101111012021010
4231332122130303011312320
5203000330323324000440
61554013523050513520
760406355531156505
oct5576323463056670
9874836341435233
10202201101000120
1159478007162a92
121a817b177358a0
1388a9635c83381
1437d082a8b44ac
151859aabec3580
hexb7e69ccc5db8

202201101000120 has 128 divisors (see below), whose sum is σ = 606826735257600. Its totient is φ = 53900436627456.

The previous prime is 202201101000113. The next prime is 202201101000257. The reversal of 202201101000120 is 21000101102202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202201101000096 and 202201101000105.

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, 4573939057 + ... + 4573983263.

It is an arithmetic number, because the mean of its divisors is an integer number (4740833869200).

Almost surely, 2202201101000120 is an apocalyptic number.

202201101000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202201101000120 is an abundant number, since it is smaller than the sum of its proper divisors (404625634257480).

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

202201101000120 is a wasteful number, since it uses less digits than its factorization.

202201101000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57397 (or 57393 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202201101000120 its reverse (21000101102202), we get a palindrome (223201202102322).

The spelling of 202201101000120 in words is "two hundred two trillion, two hundred one billion, one hundred one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4289 8578 8887 12867 17156 17774 21445 25734 26661 34312 35548 42890 44207 44435 51468 53322 64335 71096 85780 88414 88870 102936 106644 128670 132621 133305 171560 176828 177740 213288 221035 257340 265242 266610 353656 355480 442070 514680 530484 533220 663105 884140 1060968 1066440 1326210 1768280 2652420 5304840 38116343 76232686 114349029 152465372 189603823 190581715 228698058 304930744 379207646 381163430 392867609 457396116 568811469 571745145 758415292 762326860 785735218 914792232 948019115 1137622938 1143490290 1178602827 1516830584 1524653720 1571470436 1896038230 1964338045 2275245876 2286980580 2357205654 2844057345 3142940872 3792076460 3928676090 4550491752 4573961160 4714411308 5688114690 5893014135 7584152920 7857352180 9428822616 11376229380 11786028270 15714704360 22752458760 23572056540 47144113080 1685009175001 3370018350002 5055027525003 6740036700004 8425045875005 10110055050006 13480073400008 16850091750010 20220110100012 25275137625015 33700183500020 40440220200024 50550275250030 67400367000040 101100550500060 202201101000120