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10102033320 = 23352333710861
BaseRepresentation
bin10010110100010000…
…01100101110101000
3222002000202110112020
421122020030232220
5131142110031240
64350225344440
7505223603121
oct113210145650
928060673466
1010102033320
114314375175
121b5b198120
13c4cb93612
146bb923048
153e1d150d0
hex25a20cba8

10102033320 has 128 divisors (see below), whose sum is σ = 31720515840. Its totient is φ = 2568867840.

The previous prime is 10102033309. The next prime is 10102033327. The reversal of 10102033320 is 2333020101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10102033320.

It is not an unprimeable number, because it can be changed into a prime (10102033327) 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, 924690 + ... + 935550.

It is an arithmetic number, because the mean of its divisors is an integer number (247816530).

Almost surely, 210102033320 is an apocalyptic number.

10102033320 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 10102033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15860257920).

10102033320 is an abundant number, since it is smaller than the sum of its proper divisors (21618482520).

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

10102033320 is a wasteful number, since it uses less digits than its factorization.

10102033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11235 (or 11231 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10102033320 its reverse (2333020101), we get a palindrome (12435053421).

The spelling of 10102033320 in words is "ten billion, one hundred two million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 337 345 460 552 674 690 920 1011 1348 1380 1685 2022 2696 2760 3370 4044 5055 6740 7751 8088 10110 10861 13480 15502 20220 21722 23253 31004 32583 38755 40440 43444 46506 54305 62008 65166 77510 86888 93012 108610 116265 130332 155020 162915 186024 217220 232530 249803 260664 310040 325830 434440 465060 499606 651660 749409 930120 999212 1249015 1303320 1498818 1998424 2498030 2997636 3660157 3747045 4996060 5995272 7320314 7494090 9992120 10980471 14640628 14988180 18300785 21960942 29281256 29976360 36601570 43921884 54902355 73203140 84183611 87843768 109804710 146406280 168367222 219609420 252550833 336734444 420918055 439218840 505101666 673468888 841836110 1010203332 1262754165 1683672220 2020406664 2525508330 3367344440 5051016660 10102033320