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100002222020112 = 243337101314394241
BaseRepresentation
bin10110101111001110010100…
…111010111001011000010000
3111010002010012210102211211220
4112233032110322321120100
5101101414022314120422
6552404215300205040
730030631200043056
oct2657162472713020
9433063183384756
10100002222020112
1129955782306835
12b271125999780
1343a52275b7349
141a9a1c1d821d6
15b864498dae5c
hex5af394eb9610

100002222020112 has 160 divisors (see below), whose sum is σ = 259602874352640. Its totient is φ = 33171454525440.

The previous prime is 100002222020101. The next prime is 100002222020123. The reversal of 100002222020112 is 211020222200001.

It is an interprime number because it is at equal distance from previous prime (100002222020101) and next prime (100002222020123).

It is a junction number, because it is equal to n+sod(n) for n = 100002222020091 and 100002222020100.

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, 23579866312 + ... + 23579870552.

It is an arithmetic number, because the mean of its divisors is an integer number (1622517964704).

Almost surely, 2100002222020112 is an apocalyptic number.

100002222020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100002222020112 is an abundant number, since it is smaller than the sum of its proper divisors (159600652332528).

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

100002222020112 is a wasteful number, since it uses less digits than its factorization.

100002222020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7041 (or 7035 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100002222020112 its reverse (211020222200001), we get a palindrome (311022444220113).

The spelling of 100002222020112 in words is "one hundred trillion, two billion, two hundred twenty-two million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 337 674 1011 1013 1348 1439 2022 2026 2696 2878 3039 4044 4052 4241 4317 5392 5756 6078 8088 8104 8482 8634 11512 12156 12723 16176 16208 16964 17268 23024 24312 25446 33928 34536 48624 50892 67856 69072 101784 203568 341381 484943 682762 969886 1024143 1365524 1429217 1454829 1457707 1939772 2048286 2731048 2858434 2909658 2915414 3879544 4096572 4287651 4296133 4373121 5462096 5716868 5819316 5830828 6102799 7759088 8193144 8575302 8592266 8746242 11433736 11638632 11661656 12205598 12888399 16386288 17150604 17184532 17492484 18308397 22867472 23277264 23323312 24411196 25776798 34301208 34369064 34984968 36616794 48822392 51553596 68602416 68738128 69969936 73233588 97644784 103107192 146467176 206214384 292934352 491247259 982494518 1447796821 1473741777 1964989036 2056643263 2895593642 2947483554 3929978072 4113286526 4343390463 5791187284 5894967108 6169929789 6182135387 7859956144 8226573052 8686780926 11582374568 11789934216 12339859578 12364270774 16453146104 17373561852 18546406161 23164749136 23579868432 24679719156 24728541548 32906292208 34747123704 37092812322 49359438312 49457083096 69494247408 74185624644 98718876624 98914166192 148371249288 296742498576 2083379625419 4166759250838 6250138876257 8333518501676 12500277752514 16667037003352 25000555505028 33334074006704 50001111010056 100002222020112