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131213100103040 = 2751779152658577
BaseRepresentation
bin11101110101011001101110…
…001110001011010110000000
3122012120211221112212120202202
4131311121232032023112000
5114144243412111244130
61143022244355132332
736431555640353654
oct3565315616132600
9565524845776682
10131213100103040
113889918832065a
1212871b898a40a8
13582a45abc0247
142458a6846ca64
1510282493ab145
hex77566e38b580

131213100103040 has 128 divisors (see below), whose sum is σ = 336337379049600. Its totient is φ = 48772583129088.

The previous prime is 131213100103031. The next prime is 131213100103061. The reversal of 131213100103040 is 40301001312131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75469769 + ... + 77188808.

It is an arithmetic number, because the mean of its divisors is an integer number (2627635773825).

Almost surely, 2131213100103040 is an apocalyptic number.

131213100103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131213100103040 is an abundant number, since it is smaller than the sum of its proper divisors (205124278946560).

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

131213100103040 is a wasteful number, since it uses less digits than its factorization.

131213100103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152658692 (or 152658680 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131213100103040 its reverse (40301001312131), we get a palindrome (171514101415171).

The spelling of 131213100103040 in words is "one hundred thirty-one trillion, two hundred thirteen billion, one hundred million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 79 80 85 128 136 158 160 170 272 316 320 340 395 544 632 640 680 790 1088 1264 1343 1360 1580 2176 2528 2686 2720 3160 5056 5372 5440 6320 6715 10112 10744 10880 12640 13430 21488 25280 26860 42976 50560 53720 85952 107440 171904 214880 429760 859520 152658577 305317154 610634308 763292885 1221268616 1526585770 2442537232 2595195809 3053171540 4885074464 5190391618 6106343080 9770148928 10380783236 12060027583 12212686160 12975979045 19540297856 20761566472 24120055166 24425372320 25951958090 41523132944 48240110332 48850744640 51903916180 60300137915 83046265888 96480220664 97701489280 103807832360 120600275830 166092531776 192960441328 205020468911 207615664720 241200551660 332185063552 385920882656 410040937822 415231329440 482401103320 771841765312 820081875644 830462658880 964802206640 1025102344555 1543683530624 1640163751288 1660925317760 1929604413280 2050204689110 3280327502576 3859208826560 4100409378220 6560655005152 7718417653120 8200818756440 13121310010304 16401637512880 26242620020608 32803275025760 65606550051520 131213100103040